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Finding the Fourth Proportional to 2,545.71, 3,838.20 and 2,529.92

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Solution

The fourth proportional to 2,545.71, 3,838.20 and 2,529.92 is: 3,814.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.71 : 3,838.20 = 2,529.92 : x
  2. Step 2: Convert to fraction form
    2,545.71/3,838.20 = 2,529.92/x
  3. Step 3: Cross multiply
    2,545.71x = 3,838.20 × 2,529.92
  4. Step 4: Simplify right side
    2,545.71x = 9,710,338.94
  5. Step 5: Solve for x
    x = 9,710,338.94/2,545.71
  6. Step 6: Final answer
    x = 3,814.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.