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Finding the Fourth Proportional to 5,310.72, 7,957.21 and 3,748.14

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Solution

The fourth proportional to 5,310.72, 7,957.21 and 3,748.14 is: 5,615.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.72 : 7,957.21 = 3,748.14 : x
  2. Step 2: Convert to fraction form
    5,310.72/7,957.21 = 3,748.14/x
  3. Step 3: Cross multiply
    5,310.72x = 7,957.21 × 3,748.14
  4. Step 4: Simplify right side
    5,310.72x = 29,824,687.93
  5. Step 5: Solve for x
    x = 29,824,687.93/5,310.72
  6. Step 6: Final answer
    x = 5,615.95

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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.