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Finding the Fourth Proportional to 5,151.76, 7,727.28 and 1,453.84

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Solution

The fourth proportional to 5,151.76, 7,727.28 and 1,453.84 is: 2,180.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.76 : 7,727.28 = 1,453.84 : x
  2. Step 2: Convert to fraction form
    5,151.76/7,727.28 = 1,453.84/x
  3. Step 3: Cross multiply
    5,151.76x = 7,727.28 × 1,453.84
  4. Step 4: Simplify right side
    5,151.76x = 11,234,228.76
  5. Step 5: Solve for x
    x = 11,234,228.76/5,151.76
  6. Step 6: Final answer
    x = 2,180.66

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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.