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Finding the Fourth Proportional to 5,229.10, 7,806.04 and 4,480.66

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Solution

The fourth proportional to 5,229.10, 7,806.04 and 4,480.66 is: 6,688.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229.10 : 7,806.04 = 4,480.66 : x
  2. Step 2: Convert to fraction form
    5,229.10/7,806.04 = 4,480.66/x
  3. Step 3: Cross multiply
    5,229.10x = 7,806.04 × 4,480.66
  4. Step 4: Simplify right side
    5,229.10x = 34,976,160.95
  5. Step 5: Solve for x
    x = 34,976,160.95/5,229.10
  6. Step 6: Final answer
    x = 6,688.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.