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Finding the Fourth Proportional to 3,613.46, 5,423.28 and 2,576.00

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Solution

The fourth proportional to 3,613.46, 5,423.28 and 2,576.00 is: 3,866.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.46 : 5,423.28 = 2,576.00 : x
  2. Step 2: Convert to fraction form
    3,613.46/5,423.28 = 2,576.00/x
  3. Step 3: Cross multiply
    3,613.46x = 5,423.28 × 2,576.00
  4. Step 4: Simplify right side
    3,613.46x = 13,970,342.16
  5. Step 5: Solve for x
    x = 13,970,342.16/3,613.46
  6. Step 6: Final answer
    x = 3,866.20

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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.