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Finding the Fourth Proportional to 4,182.56, 5,772.04 and 2,294.22

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Solution

The fourth proportional to 4,182.56, 5,772.04 and 2,294.22 is: 3,166.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.56 : 5,772.04 = 2,294.22 : x
  2. Step 2: Convert to fraction form
    4,182.56/5,772.04 = 2,294.22/x
  3. Step 3: Cross multiply
    4,182.56x = 5,772.04 × 2,294.22
  4. Step 4: Simplify right side
    4,182.56x = 13,242,318.14
  5. Step 5: Solve for x
    x = 13,242,318.14/4,182.56
  6. Step 6: Final answer
    x = 3,166.08

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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.