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Finding the Fourth Proportional to 3,808.14, 5,711.64 and 1,034.97

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Solution

The fourth proportional to 3,808.14, 5,711.64 and 1,034.97 is: 1,552.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.14 : 5,711.64 = 1,034.97 : x
  2. Step 2: Convert to fraction form
    3,808.14/5,711.64 = 1,034.97/x
  3. Step 3: Cross multiply
    3,808.14x = 5,711.64 × 1,034.97
  4. Step 4: Simplify right side
    3,808.14x = 5,911,376.05
  5. Step 5: Solve for x
    x = 5,911,376.05/3,808.14
  6. Step 6: Final answer
    x = 1,552.30

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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.