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Finding the Fourth Proportional to 5,630.80, 7,770.52 and 3,112.90

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Solution

The fourth proportional to 5,630.80, 7,770.52 and 3,112.90 is: 4,295.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.80 : 7,770.52 = 3,112.90 : x
  2. Step 2: Convert to fraction form
    5,630.80/7,770.52 = 3,112.90/x
  3. Step 3: Cross multiply
    5,630.80x = 7,770.52 × 3,112.90
  4. Step 4: Simplify right side
    5,630.80x = 24,188,851.71
  5. Step 5: Solve for x
    x = 24,188,851.71/5,630.80
  6. Step 6: Final answer
    x = 4,295.81

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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.