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Finding the Fourth Proportional to 4,156.88, 5,736.40 and 2,268.45

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Solution

The fourth proportional to 4,156.88, 5,736.40 and 2,268.45 is: 3,130.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.88 : 5,736.40 = 2,268.45 : x
  2. Step 2: Convert to fraction form
    4,156.88/5,736.40 = 2,268.45/x
  3. Step 3: Cross multiply
    4,156.88x = 5,736.40 × 2,268.45
  4. Step 4: Simplify right side
    4,156.88x = 13,012,760.18
  5. Step 5: Solve for x
    x = 13,012,760.18/4,156.88
  6. Step 6: Final answer
    x = 3,130.42

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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.