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Finding the Fourth Proportional to 3,310.09, 4,965.13 and 844.91

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Solution

The fourth proportional to 3,310.09, 4,965.13 and 844.91 is: 1,267.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.09 : 4,965.13 = 844.91 : x
  2. Step 2: Convert to fraction form
    3,310.09/4,965.13 = 844.91/x
  3. Step 3: Cross multiply
    3,310.09x = 4,965.13 × 844.91
  4. Step 4: Simplify right side
    3,310.09x = 4,195,080.46
  5. Step 5: Solve for x
    x = 4,195,080.46/3,310.09
  6. Step 6: Final answer
    x = 1,267.36

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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.