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Finding the Fourth Proportional to 4,049.76, 6,074.64 and 1,451.28

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Solution

The fourth proportional to 4,049.76, 6,074.64 and 1,451.28 is: 2,176.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,049.76 : 6,074.64 = 1,451.28 : x
  2. Step 2: Convert to fraction form
    4,049.76/6,074.64 = 1,451.28/x
  3. Step 3: Cross multiply
    4,049.76x = 6,074.64 × 1,451.28
  4. Step 4: Simplify right side
    4,049.76x = 8,816,003.54
  5. Step 5: Solve for x
    x = 8,816,003.54/4,049.76
  6. Step 6: Final answer
    x = 2,176.92

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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.