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Finding the Fourth Proportional to 4,266, 5,883.03 and 2,775.06

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Solution

The fourth proportional to 4,266, 5,883.03 and 2,775.06 is: 3,826.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266 : 5,883.03 = 2,775.06 : x
  2. Step 2: Convert to fraction form
    4,266/5,883.03 = 2,775.06/x
  3. Step 3: Cross multiply
    4,266x = 5,883.03 × 2,775.06
  4. Step 4: Simplify right side
    4,266x = 16,325,761.23
  5. Step 5: Solve for x
    x = 16,325,761.23/4,266
  6. Step 6: Final answer
    x = 3,826.95

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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.