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Finding the Fourth Proportional to 3,613.12, 5,419.68 and 2,256.32

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Solution

The fourth proportional to 3,613.12, 5,419.68 and 2,256.32 is: 3,384.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.12 : 5,419.68 = 2,256.32 : x
  2. Step 2: Convert to fraction form
    3,613.12/5,419.68 = 2,256.32/x
  3. Step 3: Cross multiply
    3,613.12x = 5,419.68 × 2,256.32
  4. Step 4: Simplify right side
    3,613.12x = 12,228,532.38
  5. Step 5: Solve for x
    x = 12,228,532.38/3,613.12
  6. Step 6: Final answer
    x = 3,384.48

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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.