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Finding the Fourth Proportional to 5,690, 8,539.86 and 2,229.68

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Solution

The fourth proportional to 5,690, 8,539.86 and 2,229.68 is: 3,346.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690 : 8,539.86 = 2,229.68 : x
  2. Step 2: Convert to fraction form
    5,690/8,539.86 = 2,229.68/x
  3. Step 3: Cross multiply
    5,690x = 8,539.86 × 2,229.68
  4. Step 4: Simplify right side
    5,690x = 19,041,155.04
  5. Step 5: Solve for x
    x = 19,041,155.04/5,690
  6. Step 6: Final answer
    x = 3,346.42

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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.