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Finding the Fourth Proportional to 4,266.37, 5,889.42 and 2,869.93

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Solution

The fourth proportional to 4,266.37, 5,889.42 and 2,869.93 is: 3,961.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266.37 : 5,889.42 = 2,869.93 : x
  2. Step 2: Convert to fraction form
    4,266.37/5,889.42 = 2,869.93/x
  3. Step 3: Cross multiply
    4,266.37x = 5,889.42 × 2,869.93
  4. Step 4: Simplify right side
    4,266.37x = 16,902,223.14
  5. Step 5: Solve for x
    x = 16,902,223.14/4,266.37
  6. Step 6: Final answer
    x = 3,961.73

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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.