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Finding the Fourth Proportional to 4,034.60, 6,068.10 and 3,613.40

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Solution

The fourth proportional to 4,034.60, 6,068.10 and 3,613.40 is: 5,434.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,034.60 : 6,068.10 = 3,613.40 : x
  2. Step 2: Convert to fraction form
    4,034.60/6,068.10 = 3,613.40/x
  3. Step 3: Cross multiply
    4,034.60x = 6,068.10 × 3,613.40
  4. Step 4: Simplify right side
    4,034.60x = 21,926,472.54
  5. Step 5: Solve for x
    x = 21,926,472.54/4,034.60
  6. Step 6: Final answer
    x = 5,434.61

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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.