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Finding the Fourth Proportional to 3,630.88, 5,442 and 2,529.28

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Solution

The fourth proportional to 3,630.88, 5,442 and 2,529.28 is: 3,790.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630.88 : 5,442 = 2,529.28 : x
  2. Step 2: Convert to fraction form
    3,630.88/5,442 = 2,529.28/x
  3. Step 3: Cross multiply
    3,630.88x = 5,442 × 2,529.28
  4. Step 4: Simplify right side
    3,630.88x = 13,764,341.76
  5. Step 5: Solve for x
    x = 13,764,341.76/3,630.88
  6. Step 6: Final answer
    x = 3,790.91

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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.