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Finding the Fourth Proportional to 3,839.69, 5,759.51 and 1,066.34

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Solution

The fourth proportional to 3,839.69, 5,759.51 and 1,066.34 is: 1,599.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.69 : 5,759.51 = 1,066.34 : x
  2. Step 2: Convert to fraction form
    3,839.69/5,759.51 = 1,066.34/x
  3. Step 3: Cross multiply
    3,839.69x = 5,759.51 × 1,066.34
  4. Step 4: Simplify right side
    3,839.69x = 6,141,561.76
  5. Step 5: Solve for x
    x = 6,141,561.76/3,839.69
  6. Step 6: Final answer
    x = 1,599.50

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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.