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Finding the Fourth Proportional to 5,400.32, 7,452.16 and 3,408

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Solution

The fourth proportional to 5,400.32, 7,452.16 and 3,408 is: 4,702.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,400.32 : 7,452.16 = 3,408 : x
  2. Step 2: Convert to fraction form
    5,400.32/7,452.16 = 3,408/x
  3. Step 3: Cross multiply
    5,400.32x = 7,452.16 × 3,408
  4. Step 4: Simplify right side
    5,400.32x = 25,396,961.28
  5. Step 5: Solve for x
    x = 25,396,961.28/5,400.32
  6. Step 6: Final answer
    x = 4,702.86

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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.