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Finding the Fourth Proportional to 5,850.34, 8,073.65 and 3,197.69

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Solution

The fourth proportional to 5,850.34, 8,073.65 and 3,197.69 is: 4,412.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,850.34 : 8,073.65 = 3,197.69 : x
  2. Step 2: Convert to fraction form
    5,850.34/8,073.65 = 3,197.69/x
  3. Step 3: Cross multiply
    5,850.34x = 8,073.65 × 3,197.69
  4. Step 4: Simplify right side
    5,850.34x = 25,817,029.87
  5. Step 5: Solve for x
    x = 25,817,029.87/5,850.34
  6. Step 6: Final answer
    x = 4,412.91

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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.