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Finding the Fourth Proportional to 4,182.48, 5,768.64 and 3,063

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Solution

The fourth proportional to 4,182.48, 5,768.64 and 3,063 is: 4,224.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.48 : 5,768.64 = 3,063 : x
  2. Step 2: Convert to fraction form
    4,182.48/5,768.64 = 3,063/x
  3. Step 3: Cross multiply
    4,182.48x = 5,768.64 × 3,063
  4. Step 4: Simplify right side
    4,182.48x = 17,669,344.32
  5. Step 5: Solve for x
    x = 17,669,344.32/4,182.48
  6. Step 6: Final answer
    x = 4,224.61

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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.