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Finding the Fourth Proportional to 4,156.62, 5,736.17 and 2,268.21

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Solution

The fourth proportional to 4,156.62, 5,736.17 and 2,268.21 is: 3,130.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.62 : 5,736.17 = 2,268.21 : x
  2. Step 2: Convert to fraction form
    4,156.62/5,736.17 = 2,268.21/x
  3. Step 3: Cross multiply
    4,156.62x = 5,736.17 × 2,268.21
  4. Step 4: Simplify right side
    4,156.62x = 13,010,820.31
  5. Step 5: Solve for x
    x = 13,010,820.31/4,156.62
  6. Step 6: Final answer
    x = 3,130.14

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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.