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Finding the Fourth Proportional to 5,638.12, 8,455.54 and 2,174.56

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Solution

The fourth proportional to 5,638.12, 8,455.54 and 2,174.56 is: 3,261.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.12 : 8,455.54 = 2,174.56 : x
  2. Step 2: Convert to fraction form
    5,638.12/8,455.54 = 2,174.56/x
  3. Step 3: Cross multiply
    5,638.12x = 8,455.54 × 2,174.56
  4. Step 4: Simplify right side
    5,638.12x = 18,387,079.06
  5. Step 5: Solve for x
    x = 18,387,079.06/5,638.12
  6. Step 6: Final answer
    x = 3,261.21

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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.