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Finding the Fourth Proportional to 5,151.28, 7,726.84 and 1,255.68

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Solution

The fourth proportional to 5,151.28, 7,726.84 and 1,255.68 is: 1,883.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.28 : 7,726.84 = 1,255.68 : x
  2. Step 2: Convert to fraction form
    5,151.28/7,726.84 = 1,255.68/x
  3. Step 3: Cross multiply
    5,151.28x = 7,726.84 × 1,255.68
  4. Step 4: Simplify right side
    5,151.28x = 9,702,438.45
  5. Step 5: Solve for x
    x = 9,702,438.45/5,151.28
  6. Step 6: Final answer
    x = 1,883.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.