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Finding the Fourth Proportional to 6,732.57, 9,290.03 and 3,748.02

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Solution

The fourth proportional to 6,732.57, 9,290.03 and 3,748.02 is: 5,171.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,732.57 : 9,290.03 = 3,748.02 : x
  2. Step 2: Convert to fraction form
    6,732.57/9,290.03 = 3,748.02/x
  3. Step 3: Cross multiply
    6,732.57x = 9,290.03 × 3,748.02
  4. Step 4: Simplify right side
    6,732.57x = 34,819,218.24
  5. Step 5: Solve for x
    x = 34,819,218.24/6,732.57
  6. Step 6: Final answer
    x = 5,171.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.