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Finding the Fourth Proportional to 3,953, 5,930.14 and 1,488.18

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Solution

The fourth proportional to 3,953, 5,930.14 and 1,488.18 is: 2,232.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953 : 5,930.14 = 1,488.18 : x
  2. Step 2: Convert to fraction form
    3,953/5,930.14 = 1,488.18/x
  3. Step 3: Cross multiply
    3,953x = 5,930.14 × 1,488.18
  4. Step 4: Simplify right side
    3,953x = 8,825,115.75
  5. Step 5: Solve for x
    x = 8,825,115.75/3,953
  6. Step 6: Final answer
    x = 2,232.51

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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.