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Finding the Fourth Proportional to 3,058.66, 4,587.37 and 867.41

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Solution

The fourth proportional to 3,058.66, 4,587.37 and 867.41 is: 1,300.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058.66 : 4,587.37 = 867.41 : x
  2. Step 2: Convert to fraction form
    3,058.66/4,587.37 = 867.41/x
  3. Step 3: Cross multiply
    3,058.66x = 4,587.37 × 867.41
  4. Step 4: Simplify right side
    3,058.66x = 3,979,122.71
  5. Step 5: Solve for x
    x = 3,979,122.71/3,058.66
  6. Step 6: Final answer
    x = 1,300.94

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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.