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Finding the Fourth Proportional to 5,613.48, 8,419.68 and 3,765.60

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Solution

The fourth proportional to 5,613.48, 8,419.68 and 3,765.60 is: 5,648.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.48 : 8,419.68 = 3,765.60 : x
  2. Step 2: Convert to fraction form
    5,613.48/8,419.68 = 3,765.60/x
  3. Step 3: Cross multiply
    5,613.48x = 8,419.68 × 3,765.60
  4. Step 4: Simplify right side
    5,613.48x = 31,705,147.01
  5. Step 5: Solve for x
    x = 31,705,147.01/5,613.48
  6. Step 6: Final answer
    x = 5,648.04

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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.