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Finding the Fourth Proportional to 3,489.64, 4,816.53 and 1,998.42

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Solution

The fourth proportional to 3,489.64, 4,816.53 and 1,998.42 is: 2,758.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.64 : 4,816.53 = 1,998.42 : x
  2. Step 2: Convert to fraction form
    3,489.64/4,816.53 = 1,998.42/x
  3. Step 3: Cross multiply
    3,489.64x = 4,816.53 × 1,998.42
  4. Step 4: Simplify right side
    3,489.64x = 9,625,449.88
  5. Step 5: Solve for x
    x = 9,625,449.88/3,489.64
  6. Step 6: Final answer
    x = 2,758.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.