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Finding the Fourth Proportional to 5,948.12, 8,197.11 and 4,266.60

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Solution

The fourth proportional to 5,948.12, 8,197.11 and 4,266.60 is: 5,879.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.12 : 8,197.11 = 4,266.60 : x
  2. Step 2: Convert to fraction form
    5,948.12/8,197.11 = 4,266.60/x
  3. Step 3: Cross multiply
    5,948.12x = 8,197.11 × 4,266.60
  4. Step 4: Simplify right side
    5,948.12x = 34,973,789.53
  5. Step 5: Solve for x
    x = 34,973,789.53/5,948.12
  6. Step 6: Final answer
    x = 5,879.81

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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.