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Finding the Fourth Proportional to 3,643.80, 5,471.20 and 2,911.20

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Solution

The fourth proportional to 3,643.80, 5,471.20 and 2,911.20 is: 4,371.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.80 : 5,471.20 = 2,911.20 : x
  2. Step 2: Convert to fraction form
    3,643.80/5,471.20 = 2,911.20/x
  3. Step 3: Cross multiply
    3,643.80x = 5,471.20 × 2,911.20
  4. Step 4: Simplify right side
    3,643.80x = 15,927,757.44
  5. Step 5: Solve for x
    x = 15,927,757.44/3,643.80
  6. Step 6: Final answer
    x = 4,371.19

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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.