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Finding the Fourth Proportional to 4,648.54, 6,961.08 and 3,083.82

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Solution

The fourth proportional to 4,648.54, 6,961.08 and 3,083.82 is: 4,617.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.54 : 6,961.08 = 3,083.82 : x
  2. Step 2: Convert to fraction form
    4,648.54/6,961.08 = 3,083.82/x
  3. Step 3: Cross multiply
    4,648.54x = 6,961.08 × 3,083.82
  4. Step 4: Simplify right side
    4,648.54x = 21,466,717.73
  5. Step 5: Solve for x
    x = 21,466,717.73/4,648.54
  6. Step 6: Final answer
    x = 4,617.95

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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.