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Finding the Fourth Proportional to 5,700,902.31, 7,867,347.42 and 3,122,417.01

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Solution

The fourth proportional to 5,700,902.31, 7,867,347.42 and 3,122,417.01 is: 4,308,991.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700,902.31 : 7,867,347.42 = 3,122,417.01 : x
  2. Step 2: Convert to fraction form
    5,700,902.31/7,867,347.42 = 3,122,417.01/x
  3. Step 3: Cross multiply
    5,700,902.31x = 7,867,347.42 × 3,122,417.01
  4. Step 4: Simplify right side
    5,700,902.31x = 24,565,139,407,787.61
  5. Step 5: Solve for x
    x = 24,565,139,407,787.61/5,700,902.31
  6. Step 6: Final answer
    x = 4,308,991.47

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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.