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Finding the Fourth Proportional to 3,449.24, 5,168.46 and 1,368.12

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Solution

The fourth proportional to 3,449.24, 5,168.46 and 1,368.12 is: 2,050.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.24 : 5,168.46 = 1,368.12 : x
  2. Step 2: Convert to fraction form
    3,449.24/5,168.46 = 1,368.12/x
  3. Step 3: Cross multiply
    3,449.24x = 5,168.46 × 1,368.12
  4. Step 4: Simplify right side
    3,449.24x = 7,071,073.50
  5. Step 5: Solve for x
    x = 7,071,073.50/3,449.24
  6. Step 6: Final answer
    x = 2,050.04

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Why These Related Problems?

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