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Finding the Fourth Proportional to 3,058.99, 4,587.83 and 867.74

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Solution

The fourth proportional to 3,058.99, 4,587.83 and 867.74 is: 1,301.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058.99 : 4,587.83 = 867.74 : x
  2. Step 2: Convert to fraction form
    3,058.99/4,587.83 = 867.74/x
  3. Step 3: Cross multiply
    3,058.99x = 4,587.83 × 867.74
  4. Step 4: Simplify right side
    3,058.99x = 3,981,016.33
  5. Step 5: Solve for x
    x = 3,981,016.33/3,058.99
  6. Step 6: Final answer
    x = 1,301.42

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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.