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Finding the Fourth Proportional to 6,472.80, 9,710.55 and 3,697.20

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Solution

The fourth proportional to 6,472.80, 9,710.55 and 3,697.20 is: 5,546.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.80 : 9,710.55 = 3,697.20 : x
  2. Step 2: Convert to fraction form
    6,472.80/9,710.55 = 3,697.20/x
  3. Step 3: Cross multiply
    6,472.80x = 9,710.55 × 3,697.20
  4. Step 4: Simplify right side
    6,472.80x = 35,901,845.46
  5. Step 5: Solve for x
    x = 35,901,845.46/6,472.80
  6. Step 6: Final answer
    x = 5,546.57

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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.