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Finding the Fourth Proportional to 3,679.48, 5,524.08 and 1,949.32

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Solution

The fourth proportional to 3,679.48, 5,524.08 and 1,949.32 is: 2,926.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.48 : 5,524.08 = 1,949.32 : x
  2. Step 2: Convert to fraction form
    3,679.48/5,524.08 = 1,949.32/x
  3. Step 3: Cross multiply
    3,679.48x = 5,524.08 × 1,949.32
  4. Step 4: Simplify right side
    3,679.48x = 10,768,199.63
  5. Step 5: Solve for x
    x = 10,768,199.63/3,679.48
  6. Step 6: Final answer
    x = 2,926.55

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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.