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Finding the Fourth Proportional to 3,301.85, 4,952.60 and 836.71

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Solution

The fourth proportional to 3,301.85, 4,952.60 and 836.71 is: 1,255.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.85 : 4,952.60 = 836.71 : x
  2. Step 2: Convert to fraction form
    3,301.85/4,952.60 = 836.71/x
  3. Step 3: Cross multiply
    3,301.85x = 4,952.60 × 836.71
  4. Step 4: Simplify right side
    3,301.85x = 4,143,865.18
  5. Step 5: Solve for x
    x = 4,143,865.18/3,301.85
  6. Step 6: Final answer
    x = 1,255.02

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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.