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Finding the Fourth Proportional to 3,535.85, 4,878.96 and 2,119.22

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Solution

The fourth proportional to 3,535.85, 4,878.96 and 2,119.22 is: 2,924.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.85 : 4,878.96 = 2,119.22 : x
  2. Step 2: Convert to fraction form
    3,535.85/4,878.96 = 2,119.22/x
  3. Step 3: Cross multiply
    3,535.85x = 4,878.96 × 2,119.22
  4. Step 4: Simplify right side
    3,535.85x = 10,339,589.61
  5. Step 5: Solve for x
    x = 10,339,589.61/3,535.85
  6. Step 6: Final answer
    x = 2,924.22

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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.