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Finding the Fourth Proportional to 3,873.90, 5,344.20 and 2,809.34

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Solution

The fourth proportional to 3,873.90, 5,344.20 and 2,809.34 is: 3,875.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.90 : 5,344.20 = 2,809.34 : x
  2. Step 2: Convert to fraction form
    3,873.90/5,344.20 = 2,809.34/x
  3. Step 3: Cross multiply
    3,873.90x = 5,344.20 × 2,809.34
  4. Step 4: Simplify right side
    3,873.90x = 15,013,678.68
  5. Step 5: Solve for x
    x = 15,013,678.68/3,873.90
  6. Step 6: Final answer
    x = 3,875.59

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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.