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Finding the Fourth Proportional to 5,220.69, 7,821.90 and 4,348.78

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Solution

The fourth proportional to 5,220.69, 7,821.90 and 4,348.78 is: 6,515.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220.69 : 7,821.90 = 4,348.78 : x
  2. Step 2: Convert to fraction form
    5,220.69/7,821.90 = 4,348.78/x
  3. Step 3: Cross multiply
    5,220.69x = 7,821.90 × 4,348.78
  4. Step 4: Simplify right side
    5,220.69x = 34,015,722.28
  5. Step 5: Solve for x
    x = 34,015,722.28/5,220.69
  6. Step 6: Final answer
    x = 6,515.56

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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.