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Finding the Fourth Proportional to 4,665, 6,437.70 and 2,569.17

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Solution

The fourth proportional to 4,665, 6,437.70 and 2,569.17 is: 3,545.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665 : 6,437.70 = 2,569.17 : x
  2. Step 2: Convert to fraction form
    4,665/6,437.70 = 2,569.17/x
  3. Step 3: Cross multiply
    4,665x = 6,437.70 × 2,569.17
  4. Step 4: Simplify right side
    4,665x = 16,539,545.71
  5. Step 5: Solve for x
    x = 16,539,545.71/4,665
  6. Step 6: Final answer
    x = 3,545.45

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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.