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Finding the Fourth Proportional to 4,704.68, 6,491.17 and 2,911.30

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Solution

The fourth proportional to 4,704.68, 6,491.17 and 2,911.30 is: 4,016.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.68 : 6,491.17 = 2,911.30 : x
  2. Step 2: Convert to fraction form
    4,704.68/6,491.17 = 2,911.30/x
  3. Step 3: Cross multiply
    4,704.68x = 6,491.17 × 2,911.30
  4. Step 4: Simplify right side
    4,704.68x = 18,897,743.22
  5. Step 5: Solve for x
    x = 18,897,743.22/4,704.68
  6. Step 6: Final answer
    x = 4,016.80

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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.