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Finding the Fourth Proportional to 5,475.76, 8,207.88 and 2,734

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Solution

The fourth proportional to 5,475.76, 8,207.88 and 2,734 is: 4,098.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,475.76 : 8,207.88 = 2,734 : x
  2. Step 2: Convert to fraction form
    5,475.76/8,207.88 = 2,734/x
  3. Step 3: Cross multiply
    5,475.76x = 8,207.88 × 2,734
  4. Step 4: Simplify right side
    5,475.76x = 22,440,343.92
  5. Step 5: Solve for x
    x = 22,440,343.92/5,475.76
  6. Step 6: Final answer
    x = 4,098.12

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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.