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Finding the Fourth Proportional to 5,348.06, 8,022.06 and 1,452.47

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Solution

The fourth proportional to 5,348.06, 8,022.06 and 1,452.47 is: 2,178.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,348.06 : 8,022.06 = 1,452.47 : x
  2. Step 2: Convert to fraction form
    5,348.06/8,022.06 = 1,452.47/x
  3. Step 3: Cross multiply
    5,348.06x = 8,022.06 × 1,452.47
  4. Step 4: Simplify right side
    5,348.06x = 11,651,761.38
  5. Step 5: Solve for x
    x = 11,651,761.38/5,348.06
  6. Step 6: Final answer
    x = 2,178.69

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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.