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Finding the Fourth Proportional to 3,349.94, 5,023.02 and 1,375.02

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Solution

The fourth proportional to 3,349.94, 5,023.02 and 1,375.02 is: 2,061.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,349.94 : 5,023.02 = 1,375.02 : x
  2. Step 2: Convert to fraction form
    3,349.94/5,023.02 = 1,375.02/x
  3. Step 3: Cross multiply
    3,349.94x = 5,023.02 × 1,375.02
  4. Step 4: Simplify right side
    3,349.94x = 6,906,752.96
  5. Step 5: Solve for x
    x = 6,906,752.96/3,349.94
  6. Step 6: Final answer
    x = 2,061.75

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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.