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Finding the Fourth Proportional to 3,765.29, 5,681.64 and 3,613.56

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Solution

The fourth proportional to 3,765.29, 5,681.64 and 3,613.56 is: 5,452.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.29 : 5,681.64 = 3,613.56 : x
  2. Step 2: Convert to fraction form
    3,765.29/5,681.64 = 3,613.56/x
  3. Step 3: Cross multiply
    3,765.29x = 5,681.64 × 3,613.56
  4. Step 4: Simplify right side
    3,765.29x = 20,530,971.24
  5. Step 5: Solve for x
    x = 20,530,971.24/3,765.29
  6. Step 6: Final answer
    x = 5,452.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.