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Finding the Fourth Proportional to 3,726.64, 5,136.42 and 2,545.66

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Solution

The fourth proportional to 3,726.64, 5,136.42 and 2,545.66 is: 3,508.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.64 : 5,136.42 = 2,545.66 : x
  2. Step 2: Convert to fraction form
    3,726.64/5,136.42 = 2,545.66/x
  3. Step 3: Cross multiply
    3,726.64x = 5,136.42 × 2,545.66
  4. Step 4: Simplify right side
    3,726.64x = 13,075,578.94
  5. Step 5: Solve for x
    x = 13,075,578.94/3,726.64
  6. Step 6: Final answer
    x = 3,508.68

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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.