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Finding the Fourth Proportional to 5,867.37, 8,097.41 and 3,874.47

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Solution

The fourth proportional to 5,867.37, 8,097.41 and 3,874.47 is: 5,347.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.37 : 8,097.41 = 3,874.47 : x
  2. Step 2: Convert to fraction form
    5,867.37/8,097.41 = 3,874.47/x
  3. Step 3: Cross multiply
    5,867.37x = 8,097.41 × 3,874.47
  4. Step 4: Simplify right side
    5,867.37x = 31,373,172.12
  5. Step 5: Solve for x
    x = 31,373,172.12/5,867.37
  6. Step 6: Final answer
    x = 5,347.06

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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.