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Finding the Fourth Proportional to 3,643.77, 5,467.12 and 1,454.04

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Solution

The fourth proportional to 3,643.77, 5,467.12 and 1,454.04 is: 2,181.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.77 : 5,467.12 = 1,454.04 : x
  2. Step 2: Convert to fraction form
    3,643.77/5,467.12 = 1,454.04/x
  3. Step 3: Cross multiply
    3,643.77x = 5,467.12 × 1,454.04
  4. Step 4: Simplify right side
    3,643.77x = 7,949,407.53
  5. Step 5: Solve for x
    x = 7,949,407.53/3,643.77
  6. Step 6: Final answer
    x = 2,181.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.