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Finding the Fourth Proportional to 3,561.57, 5,342.76 and 1,613.52

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Solution

The fourth proportional to 3,561.57, 5,342.76 and 1,613.52 is: 2,420.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,561.57 : 5,342.76 = 1,613.52 : x
  2. Step 2: Convert to fraction form
    3,561.57/5,342.76 = 1,613.52/x
  3. Step 3: Cross multiply
    3,561.57x = 5,342.76 × 1,613.52
  4. Step 4: Simplify right side
    3,561.57x = 8,620,650.12
  5. Step 5: Solve for x
    x = 8,620,650.12/3,561.57
  6. Step 6: Final answer
    x = 2,420.46

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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.