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Finding the Fourth Proportional to 5,902.85, 8,856.67 and 2,206.14

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Solution

The fourth proportional to 5,902.85, 8,856.67 and 2,206.14 is: 3,310.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.85 : 8,856.67 = 2,206.14 : x
  2. Step 2: Convert to fraction form
    5,902.85/8,856.67 = 2,206.14/x
  3. Step 3: Cross multiply
    5,902.85x = 8,856.67 × 2,206.14
  4. Step 4: Simplify right side
    5,902.85x = 19,539,013.16
  5. Step 5: Solve for x
    x = 19,539,013.16/5,902.85
  6. Step 6: Final answer
    x = 3,310.10

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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.