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Finding the Fourth Proportional to 5,205.72, 7,770.45 and 4,517.16

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Solution

The fourth proportional to 5,205.72, 7,770.45 and 4,517.16 is: 6,742.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.72 : 7,770.45 = 4,517.16 : x
  2. Step 2: Convert to fraction form
    5,205.72/7,770.45 = 4,517.16/x
  3. Step 3: Cross multiply
    5,205.72x = 7,770.45 × 4,517.16
  4. Step 4: Simplify right side
    5,205.72x = 35,100,365.92
  5. Step 5: Solve for x
    x = 35,100,365.92/5,205.72
  6. Step 6: Final answer
    x = 6,742.65

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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.