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Finding the Fourth Proportional to 5,856.68, 8,082.33 and 3,498.82

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Solution

The fourth proportional to 5,856.68, 8,082.33 and 3,498.82 is: 4,828.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.68 : 8,082.33 = 3,498.82 : x
  2. Step 2: Convert to fraction form
    5,856.68/8,082.33 = 3,498.82/x
  3. Step 3: Cross multiply
    5,856.68x = 8,082.33 × 3,498.82
  4. Step 4: Simplify right side
    5,856.68x = 28,278,626.94
  5. Step 5: Solve for x
    x = 28,278,626.94/5,856.68
  6. Step 6: Final answer
    x = 4,828.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.