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Finding the Fourth Proportional to 4,981.24, 7,451.70 and 4,161.16

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Solution

The fourth proportional to 4,981.24, 7,451.70 and 4,161.16 is: 6,224.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,981.24 : 7,451.70 = 4,161.16 : x
  2. Step 2: Convert to fraction form
    4,981.24/7,451.70 = 4,161.16/x
  3. Step 3: Cross multiply
    4,981.24x = 7,451.70 × 4,161.16
  4. Step 4: Simplify right side
    4,981.24x = 31,007,715.97
  5. Step 5: Solve for x
    x = 31,007,715.97/4,981.24
  6. Step 6: Final answer
    x = 6,224.90

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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.