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Finding the Fourth Proportional to 3,862.54, 5,790 and 2,471.92

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Solution

The fourth proportional to 3,862.54, 5,790 and 2,471.92 is: 3,705.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.54 : 5,790 = 2,471.92 : x
  2. Step 2: Convert to fraction form
    3,862.54/5,790 = 2,471.92/x
  3. Step 3: Cross multiply
    3,862.54x = 5,790 × 2,471.92
  4. Step 4: Simplify right side
    3,862.54x = 14,312,416.80
  5. Step 5: Solve for x
    x = 14,312,416.80/3,862.54
  6. Step 6: Final answer
    x = 3,705.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.