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Finding the Fourth Proportional to 5,307.80, 7,324.83 and 3,211.92

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Solution

The fourth proportional to 5,307.80, 7,324.83 and 3,211.92 is: 4,432.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.80 : 7,324.83 = 3,211.92 : x
  2. Step 2: Convert to fraction form
    5,307.80/7,324.83 = 3,211.92/x
  3. Step 3: Cross multiply
    5,307.80x = 7,324.83 × 3,211.92
  4. Step 4: Simplify right side
    5,307.80x = 23,526,767.97
  5. Step 5: Solve for x
    x = 23,526,767.97/5,307.80
  6. Step 6: Final answer
    x = 4,432.49

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