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Finding the Fourth Proportional to 4,223.52, 6,335.28 and 2,576.78

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Solution

The fourth proportional to 4,223.52, 6,335.28 and 2,576.78 is: 3,865.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.52 : 6,335.28 = 2,576.78 : x
  2. Step 2: Convert to fraction form
    4,223.52/6,335.28 = 2,576.78/x
  3. Step 3: Cross multiply
    4,223.52x = 6,335.28 × 2,576.78
  4. Step 4: Simplify right side
    4,223.52x = 16,324,591.12
  5. Step 5: Solve for x
    x = 16,324,591.12/4,223.52
  6. Step 6: Final answer
    x = 3,865.16

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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.