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Finding the Fourth Proportional to 3,911.40, 5,398.86 and 2,340.42

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Solution

The fourth proportional to 3,911.40, 5,398.86 and 2,340.42 is: 3,230.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.40 : 5,398.86 = 2,340.42 : x
  2. Step 2: Convert to fraction form
    3,911.40/5,398.86 = 2,340.42/x
  3. Step 3: Cross multiply
    3,911.40x = 5,398.86 × 2,340.42
  4. Step 4: Simplify right side
    3,911.40x = 12,635,599.92
  5. Step 5: Solve for x
    x = 12,635,599.92/3,911.40
  6. Step 6: Final answer
    x = 3,230.45

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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.