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Finding the Fourth Proportional to 5,398.20, 7,449.30 and 3,627

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Solution

The fourth proportional to 5,398.20, 7,449.30 and 3,627 is: 5,005.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.20 : 7,449.30 = 3,627 : x
  2. Step 2: Convert to fraction form
    5,398.20/7,449.30 = 3,627/x
  3. Step 3: Cross multiply
    5,398.20x = 7,449.30 × 3,627
  4. Step 4: Simplify right side
    5,398.20x = 27,018,611.10
  5. Step 5: Solve for x
    x = 27,018,611.10/5,398.20
  6. Step 6: Final answer
    x = 5,005.11

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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.