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Finding the Fourth Proportional to 3,613.44, 5,407.20 and 3,128.16

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Solution

The fourth proportional to 3,613.44, 5,407.20 and 3,128.16 is: 4,681.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.44 : 5,407.20 = 3,128.16 : x
  2. Step 2: Convert to fraction form
    3,613.44/5,407.20 = 3,128.16/x
  3. Step 3: Cross multiply
    3,613.44x = 5,407.20 × 3,128.16
  4. Step 4: Simplify right side
    3,613.44x = 16,914,586.75
  5. Step 5: Solve for x
    x = 16,914,586.75/3,613.44
  6. Step 6: Final answer
    x = 4,681.02

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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.