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Finding the Fourth Proportional to 5,951.50, 8,209.65 and 3,712.30

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Solution

The fourth proportional to 5,951.50, 8,209.65 and 3,712.30 is: 5,120.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,951.50 : 8,209.65 = 3,712.30 : x
  2. Step 2: Convert to fraction form
    5,951.50/8,209.65 = 3,712.30/x
  3. Step 3: Cross multiply
    5,951.50x = 8,209.65 × 3,712.30
  4. Step 4: Simplify right side
    5,951.50x = 30,476,683.70
  5. Step 5: Solve for x
    x = 30,476,683.70/5,951.50
  6. Step 6: Final answer
    x = 5,120.84

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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.