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Finding the Fourth Proportional to 4,665.32, 6,437.85 and 2,569.45

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Solution

The fourth proportional to 4,665.32, 6,437.85 and 2,569.45 is: 3,545.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.32 : 6,437.85 = 2,569.45 : x
  2. Step 2: Convert to fraction form
    4,665.32/6,437.85 = 2,569.45/x
  3. Step 3: Cross multiply
    4,665.32x = 6,437.85 × 2,569.45
  4. Step 4: Simplify right side
    4,665.32x = 16,541,733.68
  5. Step 5: Solve for x
    x = 16,541,733.68/4,665.32
  6. Step 6: Final answer
    x = 3,545.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.