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Finding the Fourth Proportional to 3,058.73, 4,588.10 and 867.48

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Solution

The fourth proportional to 3,058.73, 4,588.10 and 867.48 is: 1,301.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058.73 : 4,588.10 = 867.48 : x
  2. Step 2: Convert to fraction form
    3,058.73/4,588.10 = 867.48/x
  3. Step 3: Cross multiply
    3,058.73x = 4,588.10 × 867.48
  4. Step 4: Simplify right side
    3,058.73x = 3,980,057.71
  5. Step 5: Solve for x
    x = 3,980,057.71/3,058.73
  6. Step 6: Final answer
    x = 1,301.21

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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.