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Finding the Fourth Proportional to 4,924.64, 7,378.71 and 2,147.15

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Solution

The fourth proportional to 4,924.64, 7,378.71 and 2,147.15 is: 3,217.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,924.64 : 7,378.71 = 2,147.15 : x
  2. Step 2: Convert to fraction form
    4,924.64/7,378.71 = 2,147.15/x
  3. Step 3: Cross multiply
    4,924.64x = 7,378.71 × 2,147.15
  4. Step 4: Simplify right side
    4,924.64x = 15,843,160.28
  5. Step 5: Solve for x
    x = 15,843,160.28/4,924.64
  6. Step 6: Final answer
    x = 3,217.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.