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Finding the Fourth Proportional to 4,140.40, 6,200.04 and 3,449.20

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Solution

The fourth proportional to 4,140.40, 6,200.04 and 3,449.20 is: 5,165.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140.40 : 6,200.04 = 3,449.20 : x
  2. Step 2: Convert to fraction form
    4,140.40/6,200.04 = 3,449.20/x
  3. Step 3: Cross multiply
    4,140.40x = 6,200.04 × 3,449.20
  4. Step 4: Simplify right side
    4,140.40x = 21,385,177.97
  5. Step 5: Solve for x
    x = 21,385,177.97/4,140.40
  6. Step 6: Final answer
    x = 5,165.00

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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.