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Finding the Fourth Proportional to 5,227.47, 7,878.78 and 4,505.76

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Solution

The fourth proportional to 5,227.47, 7,878.78 and 4,505.76 is: 6,791.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.47 : 7,878.78 = 4,505.76 : x
  2. Step 2: Convert to fraction form
    5,227.47/7,878.78 = 4,505.76/x
  3. Step 3: Cross multiply
    5,227.47x = 7,878.78 × 4,505.76
  4. Step 4: Simplify right side
    5,227.47x = 35,499,891.77
  5. Step 5: Solve for x
    x = 35,499,891.77/5,227.47
  6. Step 6: Final answer
    x = 6,791.03

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.