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Finding the Fourth Proportional to 3,865.64, 5,799.36 and 1,268.42

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Solution

The fourth proportional to 3,865.64, 5,799.36 and 1,268.42 is: 1,902.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.64 : 5,799.36 = 1,268.42 : x
  2. Step 2: Convert to fraction form
    3,865.64/5,799.36 = 1,268.42/x
  3. Step 3: Cross multiply
    3,865.64x = 5,799.36 × 1,268.42
  4. Step 4: Simplify right side
    3,865.64x = 7,356,024.21
  5. Step 5: Solve for x
    x = 7,356,024.21/3,865.64
  6. Step 6: Final answer
    x = 1,902.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.