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Finding the Fourth Proportional to 3,375.81, 5,064.12 and 1,427.76

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Solution

The fourth proportional to 3,375.81, 5,064.12 and 1,427.76 is: 2,141.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,375.81 : 5,064.12 = 1,427.76 : x
  2. Step 2: Convert to fraction form
    3,375.81/5,064.12 = 1,427.76/x
  3. Step 3: Cross multiply
    3,375.81x = 5,064.12 × 1,427.76
  4. Step 4: Simplify right side
    3,375.81x = 7,230,347.97
  5. Step 5: Solve for x
    x = 7,230,347.97/3,375.81
  6. Step 6: Final answer
    x = 2,141.81

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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.