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Finding the Fourth Proportional to 4,182.66, 5,772.23 and 2,294.33

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Solution

The fourth proportional to 4,182.66, 5,772.23 and 2,294.33 is: 3,166.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.66 : 5,772.23 = 2,294.33 : x
  2. Step 2: Convert to fraction form
    4,182.66/5,772.23 = 2,294.33/x
  3. Step 3: Cross multiply
    4,182.66x = 5,772.23 × 2,294.33
  4. Step 4: Simplify right side
    4,182.66x = 13,243,360.12
  5. Step 5: Solve for x
    x = 13,243,360.12/4,182.66
  6. Step 6: Final answer
    x = 3,166.25

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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.