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Finding the Fourth Proportional to 3,729.28, 5,146.28 and 2,404.32

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Solution

The fourth proportional to 3,729.28, 5,146.28 and 2,404.32 is: 3,317.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.28 : 5,146.28 = 2,404.32 : x
  2. Step 2: Convert to fraction form
    3,729.28/5,146.28 = 2,404.32/x
  3. Step 3: Cross multiply
    3,729.28x = 5,146.28 × 2,404.32
  4. Step 4: Simplify right side
    3,729.28x = 12,373,303.93
  5. Step 5: Solve for x
    x = 12,373,303.93/3,729.28
  6. Step 6: Final answer
    x = 3,317.88

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