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Finding the Fourth Proportional to 5,146.20, 7,719.24 and 1,250.64

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Solution

The fourth proportional to 5,146.20, 7,719.24 and 1,250.64 is: 1,875.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.20 : 7,719.24 = 1,250.64 : x
  2. Step 2: Convert to fraction form
    5,146.20/7,719.24 = 1,250.64/x
  3. Step 3: Cross multiply
    5,146.20x = 7,719.24 × 1,250.64
  4. Step 4: Simplify right side
    5,146.20x = 9,653,990.31
  5. Step 5: Solve for x
    x = 9,653,990.31/5,146.20
  6. Step 6: Final answer
    x = 1,875.95

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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.