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Finding the Fourth Proportional to 6,523.56, 9,002.40 and 3,729

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Solution

The fourth proportional to 6,523.56, 9,002.40 and 3,729 is: 5,145.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.56 : 9,002.40 = 3,729 : x
  2. Step 2: Convert to fraction form
    6,523.56/9,002.40 = 3,729/x
  3. Step 3: Cross multiply
    6,523.56x = 9,002.40 × 3,729
  4. Step 4: Simplify right side
    6,523.56x = 33,569,949.60
  5. Step 5: Solve for x
    x = 33,569,949.60/6,523.56
  6. Step 6: Final answer
    x = 5,145.96

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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.