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Finding the Fourth Proportional to 5,542.60, 8,315.10 and 2,032.46

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Solution

The fourth proportional to 5,542.60, 8,315.10 and 2,032.46 is: 3,049.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.60 : 8,315.10 = 2,032.46 : x
  2. Step 2: Convert to fraction form
    5,542.60/8,315.10 = 2,032.46/x
  3. Step 3: Cross multiply
    5,542.60x = 8,315.10 × 2,032.46
  4. Step 4: Simplify right side
    5,542.60x = 16,900,108.15
  5. Step 5: Solve for x
    x = 16,900,108.15/5,542.60
  6. Step 6: Final answer
    x = 3,049.13

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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.