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Finding the Fourth Proportional to 4,267, 5,888.46 and 2,404

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Solution

The fourth proportional to 4,267, 5,888.46 and 2,404 is: 3,317.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,267 : 5,888.46 = 2,404 : x
  2. Step 2: Convert to fraction form
    4,267/5,888.46 = 2,404/x
  3. Step 3: Cross multiply
    4,267x = 5,888.46 × 2,404
  4. Step 4: Simplify right side
    4,267x = 14,155,857.84
  5. Step 5: Solve for x
    x = 14,155,857.84/4,267
  6. Step 6: Final answer
    x = 3,317.52

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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.