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Finding the Fourth Proportional to 3,227.60, 4,455.24 and 2,300.24

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Solution

The fourth proportional to 3,227.60, 4,455.24 and 2,300.24 is: 3,175.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.60 : 4,455.24 = 2,300.24 : x
  2. Step 2: Convert to fraction form
    3,227.60/4,455.24 = 2,300.24/x
  3. Step 3: Cross multiply
    3,227.60x = 4,455.24 × 2,300.24
  4. Step 4: Simplify right side
    3,227.60x = 10,248,121.26
  5. Step 5: Solve for x
    x = 10,248,121.26/3,227.60
  6. Step 6: Final answer
    x = 3,175.15

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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.