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Finding the Fourth Proportional to 4,665.18, 6,437.82 and 2,569.26

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Solution

The fourth proportional to 4,665.18, 6,437.82 and 2,569.26 is: 3,545.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.18 : 6,437.82 = 2,569.26 : x
  2. Step 2: Convert to fraction form
    4,665.18/6,437.82 = 2,569.26/x
  3. Step 3: Cross multiply
    4,665.18x = 6,437.82 × 2,569.26
  4. Step 4: Simplify right side
    4,665.18x = 16,540,433.41
  5. Step 5: Solve for x
    x = 16,540,433.41/4,665.18
  6. Step 6: Final answer
    x = 3,545.51

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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.