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Finding the Fourth Proportional to 3,203.74, 4,419.12 and 2,824.66

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Solution

The fourth proportional to 3,203.74, 4,419.12 and 2,824.66 is: 3,896.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.74 : 4,419.12 = 2,824.66 : x
  2. Step 2: Convert to fraction form
    3,203.74/4,419.12 = 2,824.66/x
  3. Step 3: Cross multiply
    3,203.74x = 4,419.12 × 2,824.66
  4. Step 4: Simplify right side
    3,203.74x = 12,482,511.50
  5. Step 5: Solve for x
    x = 12,482,511.50/3,203.74
  6. Step 6: Final answer
    x = 3,896.23

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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.