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Finding the Fourth Proportional to 3,384.78, 5,076.25 and 1,193.22

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Solution

The fourth proportional to 3,384.78, 5,076.25 and 1,193.22 is: 1,789.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.78 : 5,076.25 = 1,193.22 : x
  2. Step 2: Convert to fraction form
    3,384.78/5,076.25 = 1,193.22/x
  3. Step 3: Cross multiply
    3,384.78x = 5,076.25 × 1,193.22
  4. Step 4: Simplify right side
    3,384.78x = 6,057,083.03
  5. Step 5: Solve for x
    x = 6,057,083.03/3,384.78
  6. Step 6: Final answer
    x = 1,789.51

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Double scale
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1.5x scale

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.