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Finding the Fourth Proportional to 5,149.96, 7,726.29 and 2,227.58

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Solution

The fourth proportional to 5,149.96, 7,726.29 and 2,227.58 is: 3,341.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.96 : 7,726.29 = 2,227.58 : x
  2. Step 2: Convert to fraction form
    5,149.96/7,726.29 = 2,227.58/x
  3. Step 3: Cross multiply
    5,149.96x = 7,726.29 × 2,227.58
  4. Step 4: Simplify right side
    5,149.96x = 17,210,929.08
  5. Step 5: Solve for x
    x = 17,210,929.08/5,149.96
  6. Step 6: Final answer
    x = 3,341.95

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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.