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Finding the Fourth Proportional to 3,644.40, 5,465.24 and 2,865.92

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Solution

The fourth proportional to 3,644.40, 5,465.24 and 2,865.92 is: 4,297.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.40 : 5,465.24 = 2,865.92 : x
  2. Step 2: Convert to fraction form
    3,644.40/5,465.24 = 2,865.92/x
  3. Step 3: Cross multiply
    3,644.40x = 5,465.24 × 2,865.92
  4. Step 4: Simplify right side
    3,644.40x = 15,662,956.57
  5. Step 5: Solve for x
    x = 15,662,956.57/3,644.40
  6. Step 6: Final answer
    x = 4,297.82

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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.