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Finding the Fourth Proportional to 5,218.84, 7,202.16 and 2,861.14

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Solution

The fourth proportional to 5,218.84, 7,202.16 and 2,861.14 is: 3,948.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.84 : 7,202.16 = 2,861.14 : x
  2. Step 2: Convert to fraction form
    5,218.84/7,202.16 = 2,861.14/x
  3. Step 3: Cross multiply
    5,218.84x = 7,202.16 × 2,861.14
  4. Step 4: Simplify right side
    5,218.84x = 20,606,388.06
  5. Step 5: Solve for x
    x = 20,606,388.06/5,218.84
  6. Step 6: Final answer
    x = 3,948.46

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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.