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Finding the Fourth Proportional to 5,948.39, 8,936.26 and 4,197.42

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Solution

The fourth proportional to 5,948.39, 8,936.26 and 4,197.42 is: 6,305.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.39 : 8,936.26 = 4,197.42 : x
  2. Step 2: Convert to fraction form
    5,948.39/8,936.26 = 4,197.42/x
  3. Step 3: Cross multiply
    5,948.39x = 8,936.26 × 4,197.42
  4. Step 4: Simplify right side
    5,948.39x = 37,509,225.96
  5. Step 5: Solve for x
    x = 37,509,225.96/5,948.39
  6. Step 6: Final answer
    x = 6,305.78

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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.