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Finding the Fourth Proportional to 3,920.24, 5,881.44 and 3,490.40

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Solution

The fourth proportional to 3,920.24, 5,881.44 and 3,490.40 is: 5,236.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.24 : 5,881.44 = 3,490.40 : x
  2. Step 2: Convert to fraction form
    3,920.24/5,881.44 = 3,490.40/x
  3. Step 3: Cross multiply
    3,920.24x = 5,881.44 × 3,490.40
  4. Step 4: Simplify right side
    3,920.24x = 20,528,578.18
  5. Step 5: Solve for x
    x = 20,528,578.18/3,920.24
  6. Step 6: Final answer
    x = 5,236.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.