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Finding the Fourth Proportional to 4,951.38, 7,425.76 and 1,832.28

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Solution

The fourth proportional to 4,951.38, 7,425.76 and 1,832.28 is: 2,747.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.38 : 7,425.76 = 1,832.28 : x
  2. Step 2: Convert to fraction form
    4,951.38/7,425.76 = 1,832.28/x
  3. Step 3: Cross multiply
    4,951.38x = 7,425.76 × 1,832.28
  4. Step 4: Simplify right side
    4,951.38x = 13,606,071.53
  5. Step 5: Solve for x
    x = 13,606,071.53/4,951.38
  6. Step 6: Final answer
    x = 2,747.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.