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Finding the Fourth Proportional to 4,732.71, 7,091.76 and 2,997.69

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Solution

The fourth proportional to 4,732.71, 7,091.76 and 2,997.69 is: 4,491.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732.71 : 7,091.76 = 2,997.69 : x
  2. Step 2: Convert to fraction form
    4,732.71/7,091.76 = 2,997.69/x
  3. Step 3: Cross multiply
    4,732.71x = 7,091.76 × 2,997.69
  4. Step 4: Simplify right side
    4,732.71x = 21,258,898.03
  5. Step 5: Solve for x
    x = 21,258,898.03/4,732.71
  6. Step 6: Final answer
    x = 4,491.91

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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.