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Finding the Fourth Proportional to 5,851.14, 8,071.97 and 3,491.91

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Solution

The fourth proportional to 5,851.14, 8,071.97 and 3,491.91 is: 4,817.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,851.14 : 8,071.97 = 3,491.91 : x
  2. Step 2: Convert to fraction form
    5,851.14/8,071.97 = 3,491.91/x
  3. Step 3: Cross multiply
    5,851.14x = 8,071.97 × 3,491.91
  4. Step 4: Simplify right side
    5,851.14x = 28,186,575.30
  5. Step 5: Solve for x
    x = 28,186,575.30/5,851.14
  6. Step 6: Final answer
    x = 4,817.28

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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.