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Finding the Fourth Proportional to 4,164.68, 5,747.28 and 2,276.24

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Solution

The fourth proportional to 4,164.68, 5,747.28 and 2,276.24 is: 3,141.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.68 : 5,747.28 = 2,276.24 : x
  2. Step 2: Convert to fraction form
    4,164.68/5,747.28 = 2,276.24/x
  3. Step 3: Cross multiply
    4,164.68x = 5,747.28 × 2,276.24
  4. Step 4: Simplify right side
    4,164.68x = 13,082,151.35
  5. Step 5: Solve for x
    x = 13,082,151.35/4,164.68
  6. Step 6: Final answer
    x = 3,141.21

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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.