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Finding the Fourth Proportional to 5,471.50, 8,164.55 and 4,882.45

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Solution

The fourth proportional to 5,471.50, 8,164.55 and 4,882.45 is: 7,285.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.50 : 8,164.55 = 4,882.45 : x
  2. Step 2: Convert to fraction form
    5,471.50/8,164.55 = 4,882.45/x
  3. Step 3: Cross multiply
    5,471.50x = 8,164.55 × 4,882.45
  4. Step 4: Simplify right side
    5,471.50x = 39,863,007.15
  5. Step 5: Solve for x
    x = 39,863,007.15/5,471.50
  6. Step 6: Final answer
    x = 7,285.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.