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Finding the Fourth Proportional to 5,916,096.28, 8,164,212.92 and 3,199,842.28

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Solution

The fourth proportional to 5,916,096.28, 8,164,212.92 and 3,199,842.28 is: 4,415,782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,916,096.28 : 8,164,212.92 = 3,199,842.28 : x
  2. Step 2: Convert to fraction form
    5,916,096.28/8,164,212.92 = 3,199,842.28/x
  3. Step 3: Cross multiply
    5,916,096.28x = 8,164,212.92 × 3,199,842.28
  4. Step 4: Simplify right side
    5,916,096.28x = 26,124,193,684,338.25
  5. Step 5: Solve for x
    x = 26,124,193,684,338.25/5,916,096.28
  6. Step 6: Final answer
    x = 4,415,782.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.