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Finding the Fourth Proportional to 6,097.18, 8,408.84 and 3,971.91

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Solution

The fourth proportional to 6,097.18, 8,408.84 and 3,971.91 is: 5,477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.18 : 8,408.84 = 3,971.91 : x
  2. Step 2: Convert to fraction form
    6,097.18/8,408.84 = 3,971.91/x
  3. Step 3: Cross multiply
    6,097.18x = 8,408.84 × 3,971.91
  4. Step 4: Simplify right side
    6,097.18x = 33,399,119.19
  5. Step 5: Solve for x
    x = 33,399,119.19/6,097.18
  6. Step 6: Final answer
    x = 5,477.80

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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.