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Finding the Fourth Proportional to 5,613.68, 8,426.04 and 3,022.16

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Solution

The fourth proportional to 5,613.68, 8,426.04 and 3,022.16 is: 4,536.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.68 : 8,426.04 = 3,022.16 : x
  2. Step 2: Convert to fraction form
    5,613.68/8,426.04 = 3,022.16/x
  3. Step 3: Cross multiply
    5,613.68x = 8,426.04 × 3,022.16
  4. Step 4: Simplify right side
    5,613.68x = 25,464,841.05
  5. Step 5: Solve for x
    x = 25,464,841.05/5,613.68
  6. Step 6: Final answer
    x = 4,536.21

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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.