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Finding the Fourth Proportional to 3,886,398.86, 5,827,905.20 and 2,064,365.07

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Solution

The fourth proportional to 3,886,398.86, 5,827,905.20 and 2,064,365.07 is: 3,095,648.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886,398.86 : 5,827,905.20 = 2,064,365.07 : x
  2. Step 2: Convert to fraction form
    3,886,398.86/5,827,905.20 = 2,064,365.07/x
  3. Step 3: Cross multiply
    3,886,398.86x = 5,827,905.20 × 2,064,365.07
  4. Step 4: Simplify right side
    3,886,398.86x = 12,030,923,915,829.54
  5. Step 5: Solve for x
    x = 12,030,923,915,829.54/3,886,398.86
  6. Step 6: Final answer
    x = 3,095,648.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.