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Finding the Fourth Proportional to 5,356.38, 8,034.64 and 1,891.20

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Solution

The fourth proportional to 5,356.38, 8,034.64 and 1,891.20 is: 2,836.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.38 : 8,034.64 = 1,891.20 : x
  2. Step 2: Convert to fraction form
    5,356.38/8,034.64 = 1,891.20/x
  3. Step 3: Cross multiply
    5,356.38x = 8,034.64 × 1,891.20
  4. Step 4: Simplify right side
    5,356.38x = 15,195,111.17
  5. Step 5: Solve for x
    x = 15,195,111.17/5,356.38
  6. Step 6: Final answer
    x = 2,836.82

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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.