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Finding the Fourth Proportional to 5,264.38, 7,258.15 and 3,728

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Solution

The fourth proportional to 5,264.38, 7,258.15 and 3,728 is: 5,139.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.38 : 7,258.15 = 3,728 : x
  2. Step 2: Convert to fraction form
    5,264.38/7,258.15 = 3,728/x
  3. Step 3: Cross multiply
    5,264.38x = 7,258.15 × 3,728
  4. Step 4: Simplify right side
    5,264.38x = 27,058,383.20
  5. Step 5: Solve for x
    x = 27,058,383.20/5,264.38
  6. Step 6: Final answer
    x = 5,139.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.