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Finding the Fourth Proportional to 3,729.47, 5,597.01 and 1,974.24

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Solution

The fourth proportional to 3,729.47, 5,597.01 and 1,974.24 is: 2,962.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.47 : 5,597.01 = 1,974.24 : x
  2. Step 2: Convert to fraction form
    3,729.47/5,597.01 = 1,974.24/x
  3. Step 3: Cross multiply
    3,729.47x = 5,597.01 × 1,974.24
  4. Step 4: Simplify right side
    3,729.47x = 11,049,841.02
  5. Step 5: Solve for x
    x = 11,049,841.02/3,729.47
  6. Step 6: Final answer
    x = 2,962.85

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1.5x scale

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.