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Finding the Fourth Proportional to 3,880.36, 5,354.13 and 2,683.49

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Solution

The fourth proportional to 3,880.36, 5,354.13 and 2,683.49 is: 3,702.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.36 : 5,354.13 = 2,683.49 : x
  2. Step 2: Convert to fraction form
    3,880.36/5,354.13 = 2,683.49/x
  3. Step 3: Cross multiply
    3,880.36x = 5,354.13 × 2,683.49
  4. Step 4: Simplify right side
    3,880.36x = 14,367,761.14
  5. Step 5: Solve for x
    x = 14,367,761.14/3,880.36
  6. Step 6: Final answer
    x = 3,702.69

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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.