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Finding the Fourth Proportional to 4,665.29, 6,438.07 and 2,569.41

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Solution

The fourth proportional to 4,665.29, 6,438.07 and 2,569.41 is: 3,545.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.29 : 6,438.07 = 2,569.41 : x
  2. Step 2: Convert to fraction form
    4,665.29/6,438.07 = 2,569.41/x
  3. Step 3: Cross multiply
    4,665.29x = 6,438.07 × 2,569.41
  4. Step 4: Simplify right side
    4,665.29x = 16,542,041.44
  5. Step 5: Solve for x
    x = 16,542,041.44/4,665.29
  6. Step 6: Final answer
    x = 3,545.77

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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.