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Finding the Fourth Proportional to 5,742.39, 8,613.63 and 2,453.79

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Solution

The fourth proportional to 5,742.39, 8,613.63 and 2,453.79 is: 3,680.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.39 : 8,613.63 = 2,453.79 : x
  2. Step 2: Convert to fraction form
    5,742.39/8,613.63 = 2,453.79/x
  3. Step 3: Cross multiply
    5,742.39x = 8,613.63 × 2,453.79
  4. Step 4: Simplify right side
    5,742.39x = 21,136,039.16
  5. Step 5: Solve for x
    x = 21,136,039.16/5,742.39
  6. Step 6: Final answer
    x = 3,680.70

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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.