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Finding the Fourth Proportional to 3,509.24, 4,844.94 and 2,446.68

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Solution

The fourth proportional to 3,509.24, 4,844.94 and 2,446.68 is: 3,377.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.24 : 4,844.94 = 2,446.68 : x
  2. Step 2: Convert to fraction form
    3,509.24/4,844.94 = 2,446.68/x
  3. Step 3: Cross multiply
    3,509.24x = 4,844.94 × 2,446.68
  4. Step 4: Simplify right side
    3,509.24x = 11,854,017.80
  5. Step 5: Solve for x
    x = 11,854,017.80/3,509.24
  6. Step 6: Final answer
    x = 3,377.94

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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.