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Finding the Fourth Proportional to 5,150.71, 7,726.53 and 1,452.98

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Solution

The fourth proportional to 5,150.71, 7,726.53 and 1,452.98 is: 2,179.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150.71 : 7,726.53 = 1,452.98 : x
  2. Step 2: Convert to fraction form
    5,150.71/7,726.53 = 1,452.98/x
  3. Step 3: Cross multiply
    5,150.71x = 7,726.53 × 1,452.98
  4. Step 4: Simplify right side
    5,150.71x = 11,226,493.56
  5. Step 5: Solve for x
    x = 11,226,493.56/5,150.71
  6. Step 6: Final answer
    x = 2,179.60

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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.