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Finding the Fourth Proportional to 3,839.33, 5,759.00 and 1,066.15

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Solution

The fourth proportional to 3,839.33, 5,759.00 and 1,066.15 is: 1,599.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.33 : 5,759.00 = 1,066.15 : x
  2. Step 2: Convert to fraction form
    3,839.33/5,759.00 = 1,066.15/x
  3. Step 3: Cross multiply
    3,839.33x = 5,759.00 × 1,066.15
  4. Step 4: Simplify right side
    3,839.33x = 6,139,923.72
  5. Step 5: Solve for x
    x = 6,139,923.72/3,839.33
  6. Step 6: Final answer
    x = 1,599.22

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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.