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Finding the Fourth Proportional to 3,189.40, 4,770.60 and 2,862.70

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Solution

The fourth proportional to 3,189.40, 4,770.60 and 2,862.70 is: 4,281.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.40 : 4,770.60 = 2,862.70 : x
  2. Step 2: Convert to fraction form
    3,189.40/4,770.60 = 2,862.70/x
  3. Step 3: Cross multiply
    3,189.40x = 4,770.60 × 2,862.70
  4. Step 4: Simplify right side
    3,189.40x = 13,656,796.62
  5. Step 5: Solve for x
    x = 13,656,796.62/3,189.40
  6. Step 6: Final answer
    x = 4,281.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.