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Finding the Fourth Proportional to 4,266, 5,888.70 and 2,869.56

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Solution

The fourth proportional to 4,266, 5,888.70 and 2,869.56 is: 3,961.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266 : 5,888.70 = 2,869.56 : x
  2. Step 2: Convert to fraction form
    4,266/5,888.70 = 2,869.56/x
  3. Step 3: Cross multiply
    4,266x = 5,888.70 × 2,869.56
  4. Step 4: Simplify right side
    4,266x = 16,897,977.97
  5. Step 5: Solve for x
    x = 16,897,977.97/4,266
  6. Step 6: Final answer
    x = 3,961.08

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