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Finding the Fourth Proportional to 3,798.66, 5,694.60 and 2,044.61

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Solution

The fourth proportional to 3,798.66, 5,694.60 and 2,044.61 is: 3,065.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.66 : 5,694.60 = 2,044.61 : x
  2. Step 2: Convert to fraction form
    3,798.66/5,694.60 = 2,044.61/x
  3. Step 3: Cross multiply
    3,798.66x = 5,694.60 × 2,044.61
  4. Step 4: Simplify right side
    3,798.66x = 11,643,207.63
  5. Step 5: Solve for x
    x = 11,643,207.63/3,798.66
  6. Step 6: Final answer
    x = 3,065.08

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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.