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Finding the Fourth Proportional to 5,145.42, 7,718.16 and 1,249.82

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Solution

The fourth proportional to 5,145.42, 7,718.16 and 1,249.82 is: 1,874.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.42 : 7,718.16 = 1,249.82 : x
  2. Step 2: Convert to fraction form
    5,145.42/7,718.16 = 1,249.82/x
  3. Step 3: Cross multiply
    5,145.42x = 7,718.16 × 1,249.82
  4. Step 4: Simplify right side
    5,145.42x = 9,646,310.73
  5. Step 5: Solve for x
    x = 9,646,310.73/5,145.42
  6. Step 6: Final answer
    x = 1,874.74

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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.