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Finding the Fourth Proportional to 3,679.11, 5,074.60 and 2,419.77

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Solution

The fourth proportional to 3,679.11, 5,074.60 and 2,419.77 is: 3,337.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.11 : 5,074.60 = 2,419.77 : x
  2. Step 2: Convert to fraction form
    3,679.11/5,074.60 = 2,419.77/x
  3. Step 3: Cross multiply
    3,679.11x = 5,074.60 × 2,419.77
  4. Step 4: Simplify right side
    3,679.11x = 12,279,364.84
  5. Step 5: Solve for x
    x = 12,279,364.84/3,679.11
  6. Step 6: Final answer
    x = 3,337.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.