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Finding the Fourth Proportional to 5,175.59, 7,758.38 and 2,054.57

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Solution

The fourth proportional to 5,175.59, 7,758.38 and 2,054.57 is: 3,079.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.59 : 7,758.38 = 2,054.57 : x
  2. Step 2: Convert to fraction form
    5,175.59/7,758.38 = 2,054.57/x
  3. Step 3: Cross multiply
    5,175.59x = 7,758.38 × 2,054.57
  4. Step 4: Simplify right side
    5,175.59x = 15,940,124.52
  5. Step 5: Solve for x
    x = 15,940,124.52/5,175.59
  6. Step 6: Final answer
    x = 3,079.87

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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.