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Finding the Fourth Proportional to 3,359, 5,037.68 and 1,279.24

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Solution

The fourth proportional to 3,359, 5,037.68 and 1,279.24 is: 1,918.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,359 : 5,037.68 = 1,279.24 : x
  2. Step 2: Convert to fraction form
    3,359/5,037.68 = 1,279.24/x
  3. Step 3: Cross multiply
    3,359x = 5,037.68 × 1,279.24
  4. Step 4: Simplify right side
    3,359x = 6,444,401.76
  5. Step 5: Solve for x
    x = 6,444,401.76/3,359
  6. Step 6: Final answer
    x = 1,918.55

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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.