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Finding the Fourth Proportional to 5,229.52, 7,842.54 and 2,108.72

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Solution

The fourth proportional to 5,229.52, 7,842.54 and 2,108.72 is: 3,162.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229.52 : 7,842.54 = 2,108.72 : x
  2. Step 2: Convert to fraction form
    5,229.52/7,842.54 = 2,108.72/x
  3. Step 3: Cross multiply
    5,229.52x = 7,842.54 × 2,108.72
  4. Step 4: Simplify right side
    5,229.52x = 16,537,720.95
  5. Step 5: Solve for x
    x = 16,537,720.95/5,229.52
  6. Step 6: Final answer
    x = 3,162.38

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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.