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Finding the Fourth Proportional to 3,138.62, 4,328.82 and 2,780.09

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Solution

The fourth proportional to 3,138.62, 4,328.82 and 2,780.09 is: 3,834.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.62 : 4,328.82 = 2,780.09 : x
  2. Step 2: Convert to fraction form
    3,138.62/4,328.82 = 2,780.09/x
  3. Step 3: Cross multiply
    3,138.62x = 4,328.82 × 2,780.09
  4. Step 4: Simplify right side
    3,138.62x = 12,034,509.19
  5. Step 5: Solve for x
    x = 12,034,509.19/3,138.62
  6. Step 6: Final answer
    x = 3,834.33

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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.