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Finding the Fourth Proportional to 3,677.18, 5,074.84 and 2,419.24

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Solution

The fourth proportional to 3,677.18, 5,074.84 and 2,419.24 is: 3,338.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.18 : 5,074.84 = 2,419.24 : x
  2. Step 2: Convert to fraction form
    3,677.18/5,074.84 = 2,419.24/x
  3. Step 3: Cross multiply
    3,677.18x = 5,074.84 × 2,419.24
  4. Step 4: Simplify right side
    3,677.18x = 12,277,255.92
  5. Step 5: Solve for x
    x = 12,277,255.92/3,677.18
  6. Step 6: Final answer
    x = 3,338.77

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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.