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Finding the Fourth Proportional to 5,489.40, 8,224.65 and 2,561.70

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Solution

The fourth proportional to 5,489.40, 8,224.65 and 2,561.70 is: 3,838.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.40 : 8,224.65 = 2,561.70 : x
  2. Step 2: Convert to fraction form
    5,489.40/8,224.65 = 2,561.70/x
  3. Step 3: Cross multiply
    5,489.40x = 8,224.65 × 2,561.70
  4. Step 4: Simplify right side
    5,489.40x = 21,069,085.91
  5. Step 5: Solve for x
    x = 21,069,085.91/5,489.40
  6. Step 6: Final answer
    x = 3,838.14

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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.