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Finding the Fourth Proportional to 3,808.17, 5,255.87 and 2,316.56

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Solution

The fourth proportional to 3,808.17, 5,255.87 and 2,316.56 is: 3,197.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.17 : 5,255.87 = 2,316.56 : x
  2. Step 2: Convert to fraction form
    3,808.17/5,255.87 = 2,316.56/x
  3. Step 3: Cross multiply
    3,808.17x = 5,255.87 × 2,316.56
  4. Step 4: Simplify right side
    3,808.17x = 12,175,500.35
  5. Step 5: Solve for x
    x = 12,175,500.35/3,808.17
  6. Step 6: Final answer
    x = 3,197.21

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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.