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Finding the Fourth Proportional to 5,630.96, 7,770.73 and 3,146.96

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Solution

The fourth proportional to 5,630.96, 7,770.73 and 3,146.96 is: 4,342.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.96 : 7,770.73 = 3,146.96 : x
  2. Step 2: Convert to fraction form
    5,630.96/7,770.73 = 3,146.96/x
  3. Step 3: Cross multiply
    5,630.96x = 7,770.73 × 3,146.96
  4. Step 4: Simplify right side
    5,630.96x = 24,454,176.48
  5. Step 5: Solve for x
    x = 24,454,176.48/5,630.96
  6. Step 6: Final answer
    x = 4,342.81

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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.