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Finding the Fourth Proportional to 5,747,727.60, 7,931,694.32 and 3,169,407.68

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Solution

The fourth proportional to 5,747,727.60, 7,931,694.32 and 3,169,407.68 is: 4,373,688.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747,727.60 : 7,931,694.32 = 3,169,407.68 : x
  2. Step 2: Convert to fraction form
    5,747,727.60/7,931,694.32 = 3,169,407.68/x
  3. Step 3: Cross multiply
    5,747,727.60x = 7,931,694.32 × 3,169,407.68
  4. Step 4: Simplify right side
    5,747,727.60x = 25,138,772,893,220.38
  5. Step 5: Solve for x
    x = 25,138,772,893,220.38/5,747,727.60
  6. Step 6: Final answer
    x = 4,373,688.99

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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.