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Finding the Fourth Proportional to 3,535.70, 4,878.93 and 2,043.42

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Solution

The fourth proportional to 3,535.70, 4,878.93 and 2,043.42 is: 2,819.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.70 : 4,878.93 = 2,043.42 : x
  2. Step 2: Convert to fraction form
    3,535.70/4,878.93 = 2,043.42/x
  3. Step 3: Cross multiply
    3,535.70x = 4,878.93 × 2,043.42
  4. Step 4: Simplify right side
    3,535.70x = 9,969,703.14
  5. Step 5: Solve for x
    x = 9,969,703.14/3,535.70
  6. Step 6: Final answer
    x = 2,819.73

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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.