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Finding the Fourth Proportional to 5,882.98, 8,826.19 and 2,371.18

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Solution

The fourth proportional to 5,882.98, 8,826.19 and 2,371.18 is: 3,557.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.98 : 8,826.19 = 2,371.18 : x
  2. Step 2: Convert to fraction form
    5,882.98/8,826.19 = 2,371.18/x
  3. Step 3: Cross multiply
    5,882.98x = 8,826.19 × 2,371.18
  4. Step 4: Simplify right side
    5,882.98x = 20,928,491.13
  5. Step 5: Solve for x
    x = 20,928,491.13/5,882.98
  6. Step 6: Final answer
    x = 3,557.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.