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Finding the Fourth Proportional to 4,089.52, 6,129.42 and 2,354.56

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Solution

The fourth proportional to 4,089.52, 6,129.42 and 2,354.56 is: 3,529.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089.52 : 6,129.42 = 2,354.56 : x
  2. Step 2: Convert to fraction form
    4,089.52/6,129.42 = 2,354.56/x
  3. Step 3: Cross multiply
    4,089.52x = 6,129.42 × 2,354.56
  4. Step 4: Simplify right side
    4,089.52x = 14,432,087.16
  5. Step 5: Solve for x
    x = 14,432,087.16/4,089.52
  6. Step 6: Final answer
    x = 3,529.04

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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.