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Finding the Fourth Proportional to 3,542.75, 5,310.01 and 3,132.69

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Solution

The fourth proportional to 3,542.75, 5,310.01 and 3,132.69 is: 4,695.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.75 : 5,310.01 = 3,132.69 : x
  2. Step 2: Convert to fraction form
    3,542.75/5,310.01 = 3,132.69/x
  3. Step 3: Cross multiply
    3,542.75x = 5,310.01 × 3,132.69
  4. Step 4: Simplify right side
    3,542.75x = 16,634,615.23
  5. Step 5: Solve for x
    x = 16,634,615.23/3,542.75
  6. Step 6: Final answer
    x = 4,695.40

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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.