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Finding the Fourth Proportional to 3,058.63, 4,587.18 and 867.58

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Solution

The fourth proportional to 3,058.63, 4,587.18 and 867.58 is: 1,301.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058.63 : 4,587.18 = 867.58 : x
  2. Step 2: Convert to fraction form
    3,058.63/4,587.18 = 867.58/x
  3. Step 3: Cross multiply
    3,058.63x = 4,587.18 × 867.58
  4. Step 4: Simplify right side
    3,058.63x = 3,979,745.62
  5. Step 5: Solve for x
    x = 3,979,745.62/3,058.63
  6. Step 6: Final answer
    x = 1,301.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.