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Finding the Fourth Proportional to 5,472.90, 8,209.28 and 2,510.50

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Solution

The fourth proportional to 5,472.90, 8,209.28 and 2,510.50 is: 3,765.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472.90 : 8,209.28 = 2,510.50 : x
  2. Step 2: Convert to fraction form
    5,472.90/8,209.28 = 2,510.50/x
  3. Step 3: Cross multiply
    5,472.90x = 8,209.28 × 2,510.50
  4. Step 4: Simplify right side
    5,472.90x = 20,609,397.44
  5. Step 5: Solve for x
    x = 20,609,397.44/5,472.90
  6. Step 6: Final answer
    x = 3,765.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.