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Finding the Fourth Proportional to 3,910.65, 5,865.93 and 949.12

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Solution

The fourth proportional to 3,910.65, 5,865.93 and 949.12 is: 1,423.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910.65 : 5,865.93 = 949.12 : x
  2. Step 2: Convert to fraction form
    3,910.65/5,865.93 = 949.12/x
  3. Step 3: Cross multiply
    3,910.65x = 5,865.93 × 949.12
  4. Step 4: Simplify right side
    3,910.65x = 5,567,456.82
  5. Step 5: Solve for x
    x = 5,567,456.82/3,910.65
  6. Step 6: Final answer
    x = 1,423.66

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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.