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Finding the Fourth Proportional to 3,902.92, 5,852.02 and 1,528.17

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Solution

The fourth proportional to 3,902.92, 5,852.02 and 1,528.17 is: 2,291.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.92 : 5,852.02 = 1,528.17 : x
  2. Step 2: Convert to fraction form
    3,902.92/5,852.02 = 1,528.17/x
  3. Step 3: Cross multiply
    3,902.92x = 5,852.02 × 1,528.17
  4. Step 4: Simplify right side
    3,902.92x = 8,942,862.80
  5. Step 5: Solve for x
    x = 8,942,862.80/3,902.92
  6. Step 6: Final answer
    x = 2,291.33

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