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Finding the Fourth Proportional to 5,697.90, 8,542.80 and 2,186.55

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Solution

The fourth proportional to 5,697.90, 8,542.80 and 2,186.55 is: 3,278.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.90 : 8,542.80 = 2,186.55 : x
  2. Step 2: Convert to fraction form
    5,697.90/8,542.80 = 2,186.55/x
  3. Step 3: Cross multiply
    5,697.90x = 8,542.80 × 2,186.55
  4. Step 4: Simplify right side
    5,697.90x = 18,679,259.34
  5. Step 5: Solve for x
    x = 18,679,259.34/5,697.90
  6. Step 6: Final answer
    x = 3,278.27

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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.