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Finding the Fourth Proportional to 3,838.65, 5,757.98 and 1,066.02

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Solution

The fourth proportional to 3,838.65, 5,757.98 and 1,066.02 is: 1,599.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.65 : 5,757.98 = 1,066.02 : x
  2. Step 2: Convert to fraction form
    3,838.65/5,757.98 = 1,066.02/x
  3. Step 3: Cross multiply
    3,838.65x = 5,757.98 × 1,066.02
  4. Step 4: Simplify right side
    3,838.65x = 6,138,121.84
  5. Step 5: Solve for x
    x = 6,138,121.84/3,838.65
  6. Step 6: Final answer
    x = 1,599.03

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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.