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Finding the Fourth Proportional to 5,058.54, 6,963.88 and 3,797.47

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Solution

The fourth proportional to 5,058.54, 6,963.88 and 3,797.47 is: 5,227.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,058.54 : 6,963.88 = 3,797.47 : x
  2. Step 2: Convert to fraction form
    5,058.54/6,963.88 = 3,797.47/x
  3. Step 3: Cross multiply
    5,058.54x = 6,963.88 × 3,797.47
  4. Step 4: Simplify right side
    5,058.54x = 26,445,125.38
  5. Step 5: Solve for x
    x = 26,445,125.38/5,058.54
  6. Step 6: Final answer
    x = 5,227.82

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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.