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Finding the Fourth Proportional to 5,630.64, 7,770.24 and 3,112.83

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Solution

The fourth proportional to 5,630.64, 7,770.24 and 3,112.83 is: 4,295.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.64 : 7,770.24 = 3,112.83 : x
  2. Step 2: Convert to fraction form
    5,630.64/7,770.24 = 3,112.83/x
  3. Step 3: Cross multiply
    5,630.64x = 7,770.24 × 3,112.83
  4. Step 4: Simplify right side
    5,630.64x = 24,187,436.18
  5. Step 5: Solve for x
    x = 24,187,436.18/5,630.64
  6. Step 6: Final answer
    x = 4,295.68

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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.