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Finding the Fourth Proportional to 5,741.48, 8,613.14 and 2,454.60

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Solution

The fourth proportional to 5,741.48, 8,613.14 and 2,454.60 is: 3,682.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.48 : 8,613.14 = 2,454.60 : x
  2. Step 2: Convert to fraction form
    5,741.48/8,613.14 = 2,454.60/x
  3. Step 3: Cross multiply
    5,741.48x = 8,613.14 × 2,454.60
  4. Step 4: Simplify right side
    5,741.48x = 21,141,833.47
  5. Step 5: Solve for x
    x = 21,141,833.47/5,741.48
  6. Step 6: Final answer
    x = 3,682.30

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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.