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Finding the Fourth Proportional to 3,447.50, 5,160.92 and 2,985.80

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Solution

The fourth proportional to 3,447.50, 5,160.92 and 2,985.80 is: 4,469.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.50 : 5,160.92 = 2,985.80 : x
  2. Step 2: Convert to fraction form
    3,447.50/5,160.92 = 2,985.80/x
  3. Step 3: Cross multiply
    3,447.50x = 5,160.92 × 2,985.80
  4. Step 4: Simplify right side
    3,447.50x = 15,409,434.20
  5. Step 5: Solve for x
    x = 15,409,434.20/3,447.50
  6. Step 6: Final answer
    x = 4,469.75

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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.