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Finding the Fourth Proportional to 5,770.92, 7,963.87 and 3,118.33

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Solution

The fourth proportional to 5,770.92, 7,963.87 and 3,118.33 is: 4,303.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.92 : 7,963.87 = 3,118.33 : x
  2. Step 2: Convert to fraction form
    5,770.92/7,963.87 = 3,118.33/x
  3. Step 3: Cross multiply
    5,770.92x = 7,963.87 × 3,118.33
  4. Step 4: Simplify right side
    5,770.92x = 24,833,919.33
  5. Step 5: Solve for x
    x = 24,833,919.33/5,770.92
  6. Step 6: Final answer
    x = 4,303.29

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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.