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Finding the Fourth Proportional to 5,082.84, 7,611.84 and 3,132.36

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Solution

The fourth proportional to 5,082.84, 7,611.84 and 3,132.36 is: 4,690.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082.84 : 7,611.84 = 3,132.36 : x
  2. Step 2: Convert to fraction form
    5,082.84/7,611.84 = 3,132.36/x
  3. Step 3: Cross multiply
    5,082.84x = 7,611.84 × 3,132.36
  4. Step 4: Simplify right side
    5,082.84x = 23,843,023.14
  5. Step 5: Solve for x
    x = 23,843,023.14/5,082.84
  6. Step 6: Final answer
    x = 4,690.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.