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Finding the Fourth Proportional to 5,146.84, 7,720.20 and 1,251.24

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Solution

The fourth proportional to 5,146.84, 7,720.20 and 1,251.24 is: 1,876.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.84 : 7,720.20 = 1,251.24 : x
  2. Step 2: Convert to fraction form
    5,146.84/7,720.20 = 1,251.24/x
  3. Step 3: Cross multiply
    5,146.84x = 7,720.20 × 1,251.24
  4. Step 4: Simplify right side
    5,146.84x = 9,659,823.05
  5. Step 5: Solve for x
    x = 9,659,823.05/5,146.84
  6. Step 6: Final answer
    x = 1,876.85

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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.