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Finding the Fourth Proportional to 5,700,463.62, 7,866,647.40 and 3,086,972.21

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Solution

The fourth proportional to 5,700,463.62, 7,866,647.40 and 3,086,972.21 is: 4,260,025.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700,463.62 : 7,866,647.40 = 3,086,972.21 : x
  2. Step 2: Convert to fraction form
    5,700,463.62/7,866,647.40 = 3,086,972.21/x
  3. Step 3: Cross multiply
    5,700,463.62x = 7,866,647.40 × 3,086,972.21
  4. Step 4: Simplify right side
    5,700,463.62x = 24,284,121,870,335.52
  5. Step 5: Solve for x
    x = 24,284,121,870,335.52/5,700,463.62
  6. Step 6: Final answer
    x = 4,260,025.76

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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.