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Finding the Fourth Proportional to 3,922.50, 5,886.18 and 2,279.82

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Solution

The fourth proportional to 3,922.50, 5,886.18 and 2,279.82 is: 3,421.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.50 : 5,886.18 = 2,279.82 : x
  2. Step 2: Convert to fraction form
    3,922.50/5,886.18 = 2,279.82/x
  3. Step 3: Cross multiply
    3,922.50x = 5,886.18 × 2,279.82
  4. Step 4: Simplify right side
    3,922.50x = 13,419,430.89
  5. Step 5: Solve for x
    x = 13,419,430.89/3,922.50
  6. Step 6: Final answer
    x = 3,421.14

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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.