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Finding the Fourth Proportional to 3,759.25, 5,638.89 and 1,023.25

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Solution

The fourth proportional to 3,759.25, 5,638.89 and 1,023.25 is: 1,534.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.25 : 5,638.89 = 1,023.25 : x
  2. Step 2: Convert to fraction form
    3,759.25/5,638.89 = 1,023.25/x
  3. Step 3: Cross multiply
    3,759.25x = 5,638.89 × 1,023.25
  4. Step 4: Simplify right side
    3,759.25x = 5,769,994.19
  5. Step 5: Solve for x
    x = 5,769,994.19/3,759.25
  6. Step 6: Final answer
    x = 1,534.88

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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.