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Finding the Fourth Proportional to 5,489.28, 7,571.88 and 4,826.16

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Solution

The fourth proportional to 5,489.28, 7,571.88 and 4,826.16 is: 6,657.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.28 : 7,571.88 = 4,826.16 : x
  2. Step 2: Convert to fraction form
    5,489.28/7,571.88 = 4,826.16/x
  3. Step 3: Cross multiply
    5,489.28x = 7,571.88 × 4,826.16
  4. Step 4: Simplify right side
    5,489.28x = 36,543,104.38
  5. Step 5: Solve for x
    x = 36,543,104.38/5,489.28
  6. Step 6: Final answer
    x = 6,657.18

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Why These Related Problems?

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