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Finding the Fourth Proportional to 5,151.32, 7,726.98 and 1,255.69

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Solution

The fourth proportional to 5,151.32, 7,726.98 and 1,255.69 is: 1,883.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.32 : 7,726.98 = 1,255.69 : x
  2. Step 2: Convert to fraction form
    5,151.32/7,726.98 = 1,255.69/x
  3. Step 3: Cross multiply
    5,151.32x = 7,726.98 × 1,255.69
  4. Step 4: Simplify right side
    5,151.32x = 9,702,691.52
  5. Step 5: Solve for x
    x = 9,702,691.52/5,151.32
  6. Step 6: Final answer
    x = 1,883.54

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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.