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Finding the Fourth Proportional to 5,151.41, 7,727.12 and 1,255.82

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Solution

The fourth proportional to 5,151.41, 7,727.12 and 1,255.82 is: 1,883.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.41 : 7,727.12 = 1,255.82 : x
  2. Step 2: Convert to fraction form
    5,151.41/7,727.12 = 1,255.82/x
  3. Step 3: Cross multiply
    5,151.41x = 7,727.12 × 1,255.82
  4. Step 4: Simplify right side
    5,151.41x = 9,703,838.08
  5. Step 5: Solve for x
    x = 9,703,838.08/5,151.41
  6. Step 6: Final answer
    x = 1,883.72

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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.