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Finding the Fourth Proportional to 5,146.65, 7,719.98 and 1,251.05

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Solution

The fourth proportional to 5,146.65, 7,719.98 and 1,251.05 is: 1,876.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.65 : 7,719.98 = 1,251.05 : x
  2. Step 2: Convert to fraction form
    5,146.65/7,719.98 = 1,251.05/x
  3. Step 3: Cross multiply
    5,146.65x = 7,719.98 × 1,251.05
  4. Step 4: Simplify right side
    5,146.65x = 9,658,036.12
  5. Step 5: Solve for x
    x = 9,658,036.12/5,146.65
  6. Step 6: Final answer
    x = 1,876.57

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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.