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Finding the Fourth Proportional to 4,164.74, 5,747.31 and 2,276.33

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Solution

The fourth proportional to 4,164.74, 5,747.31 and 2,276.33 is: 3,141.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.74 : 5,747.31 = 2,276.33 : x
  2. Step 2: Convert to fraction form
    4,164.74/5,747.31 = 2,276.33/x
  3. Step 3: Cross multiply
    4,164.74x = 5,747.31 × 2,276.33
  4. Step 4: Simplify right side
    4,164.74x = 13,082,774.17
  5. Step 5: Solve for x
    x = 13,082,774.17/4,164.74
  6. Step 6: Final answer
    x = 3,141.32

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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.