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Finding the Fourth Proportional to 3,643.68, 5,467.32 and 2,487.12

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Solution

The fourth proportional to 3,643.68, 5,467.32 and 2,487.12 is: 3,731.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.68 : 5,467.32 = 2,487.12 : x
  2. Step 2: Convert to fraction form
    3,643.68/5,467.32 = 2,487.12/x
  3. Step 3: Cross multiply
    3,643.68x = 5,467.32 × 2,487.12
  4. Step 4: Simplify right side
    3,643.68x = 13,597,880.92
  5. Step 5: Solve for x
    x = 13,597,880.92/3,643.68
  6. Step 6: Final answer
    x = 3,731.91

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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.