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Finding the Fourth Proportional to 3,058.55, 4,587.17 and 867.30

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Solution

The fourth proportional to 3,058.55, 4,587.17 and 867.30 is: 1,300.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058.55 : 4,587.17 = 867.30 : x
  2. Step 2: Convert to fraction form
    3,058.55/4,587.17 = 867.30/x
  3. Step 3: Cross multiply
    3,058.55x = 4,587.17 × 867.30
  4. Step 4: Simplify right side
    3,058.55x = 3,978,452.54
  5. Step 5: Solve for x
    x = 3,978,452.54/3,058.55
  6. Step 6: Final answer
    x = 1,300.76

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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.