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Finding the Fourth Proportional to 5,748.14, 8,613.84 and 3,661.58

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Solution

The fourth proportional to 5,748.14, 8,613.84 and 3,661.58 is: 5,487.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.14 : 8,613.84 = 3,661.58 : x
  2. Step 2: Convert to fraction form
    5,748.14/8,613.84 = 3,661.58/x
  3. Step 3: Cross multiply
    5,748.14x = 8,613.84 × 3,661.58
  4. Step 4: Simplify right side
    5,748.14x = 31,540,264.27
  5. Step 5: Solve for x
    x = 31,540,264.27/5,748.14
  6. Step 6: Final answer
    x = 5,487.04

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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.