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Finding the Fourth Proportional to 3,903, 5,386.14 and 2,134.62

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Solution

The fourth proportional to 3,903, 5,386.14 and 2,134.62 is: 2,945.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903 : 5,386.14 = 2,134.62 : x
  2. Step 2: Convert to fraction form
    3,903/5,386.14 = 2,134.62/x
  3. Step 3: Cross multiply
    3,903x = 5,386.14 × 2,134.62
  4. Step 4: Simplify right side
    3,903x = 11,497,362.17
  5. Step 5: Solve for x
    x = 11,497,362.17/3,903
  6. Step 6: Final answer
    x = 2,945.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.