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Finding the Fourth Proportional to 4,972.32, 7,447.68 and 4,834.08

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Solution

The fourth proportional to 4,972.32, 7,447.68 and 4,834.08 is: 7,240.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.32 : 7,447.68 = 4,834.08 : x
  2. Step 2: Convert to fraction form
    4,972.32/7,447.68 = 4,834.08/x
  3. Step 3: Cross multiply
    4,972.32x = 7,447.68 × 4,834.08
  4. Step 4: Simplify right side
    4,972.32x = 36,002,680.93
  5. Step 5: Solve for x
    x = 36,002,680.93/4,972.32
  6. Step 6: Final answer
    x = 7,240.62

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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.