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Finding the Fourth Proportional to 3,343.80, 5,016.40 and 1,003.71

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Solution

The fourth proportional to 3,343.80, 5,016.40 and 1,003.71 is: 1,505.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.80 : 5,016.40 = 1,003.71 : x
  2. Step 2: Convert to fraction form
    3,343.80/5,016.40 = 1,003.71/x
  3. Step 3: Cross multiply
    3,343.80x = 5,016.40 × 1,003.71
  4. Step 4: Simplify right side
    3,343.80x = 5,035,008.33
  5. Step 5: Solve for x
    x = 5,035,008.33/3,343.80
  6. Step 6: Final answer
    x = 1,505.77

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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.