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Finding the Fourth Proportional to 5,049.86, 7,574.84 and 3,150.76

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Solution

The fourth proportional to 5,049.86, 7,574.84 and 3,150.76 is: 4,726.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049.86 : 7,574.84 = 3,150.76 : x
  2. Step 2: Convert to fraction form
    5,049.86/7,574.84 = 3,150.76/x
  3. Step 3: Cross multiply
    5,049.86x = 7,574.84 × 3,150.76
  4. Step 4: Simplify right side
    5,049.86x = 23,866,502.88
  5. Step 5: Solve for x
    x = 23,866,502.88/5,049.86
  6. Step 6: Final answer
    x = 4,726.17

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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.