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Finding the Fourth Proportional to 5,699,735.71, 7,865,660.42 and 3,121,434.43

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Solution

The fourth proportional to 5,699,735.71, 7,865,660.42 and 3,121,434.43 is: 4,307,593.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699,735.71 : 7,865,660.42 = 3,121,434.43 : x
  2. Step 2: Convert to fraction form
    5,699,735.71/7,865,660.42 = 3,121,434.43/x
  3. Step 3: Cross multiply
    5,699,735.71x = 7,865,660.42 × 3,121,434.43
  4. Step 4: Simplify right side
    5,699,735.71x = 24,552,143,226,110.32
  5. Step 5: Solve for x
    x = 24,552,143,226,110.32/5,699,735.71
  6. Step 6: Final answer
    x = 4,307,593.28

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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.