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Finding the Fourth Proportional to 3,221.74, 4,448.13 and 2,474.35

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Solution

The fourth proportional to 3,221.74, 4,448.13 and 2,474.35 is: 3,416.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.74 : 4,448.13 = 2,474.35 : x
  2. Step 2: Convert to fraction form
    3,221.74/4,448.13 = 2,474.35/x
  3. Step 3: Cross multiply
    3,221.74x = 4,448.13 × 2,474.35
  4. Step 4: Simplify right side
    3,221.74x = 11,006,230.47
  5. Step 5: Solve for x
    x = 11,006,230.47/3,221.74
  6. Step 6: Final answer
    x = 3,416.24

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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.