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Finding the Fourth Proportional to 3,350.80, 5,028.12 and 1,502

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Solution

The fourth proportional to 3,350.80, 5,028.12 and 1,502 is: 2,253.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,350.80 : 5,028.12 = 1,502 : x
  2. Step 2: Convert to fraction form
    3,350.80/5,028.12 = 1,502/x
  3. Step 3: Cross multiply
    3,350.80x = 5,028.12 × 1,502
  4. Step 4: Simplify right side
    3,350.80x = 7,552,236.24
  5. Step 5: Solve for x
    x = 7,552,236.24/3,350.80
  6. Step 6: Final answer
    x = 2,253.86

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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.