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Finding the Fourth Proportional to 3,643.90, 5,467.20 and 1,454.20

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Solution

The fourth proportional to 3,643.90, 5,467.20 and 1,454.20 is: 2,181.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.90 : 5,467.20 = 1,454.20 : x
  2. Step 2: Convert to fraction form
    3,643.90/5,467.20 = 1,454.20/x
  3. Step 3: Cross multiply
    3,643.90x = 5,467.20 × 1,454.20
  4. Step 4: Simplify right side
    3,643.90x = 7,950,402.24
  5. Step 5: Solve for x
    x = 7,950,402.24/3,643.90
  6. Step 6: Final answer
    x = 2,181.84

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1.5x scale

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.