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Finding the Fourth Proportional to 3,531.70, 4,873.68 and 2,039.68

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Solution

The fourth proportional to 3,531.70, 4,873.68 and 2,039.68 is: 2,814.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.70 : 4,873.68 = 2,039.68 : x
  2. Step 2: Convert to fraction form
    3,531.70/4,873.68 = 2,039.68/x
  3. Step 3: Cross multiply
    3,531.70x = 4,873.68 × 2,039.68
  4. Step 4: Simplify right side
    3,531.70x = 9,940,747.62
  5. Step 5: Solve for x
    x = 9,940,747.62/3,531.70
  6. Step 6: Final answer
    x = 2,814.72

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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.