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Finding the Fourth Proportional to 5,388.14, 8,082.12 and 1,878.09

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Solution

The fourth proportional to 5,388.14, 8,082.12 and 1,878.09 is: 2,817.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,388.14 : 8,082.12 = 1,878.09 : x
  2. Step 2: Convert to fraction form
    5,388.14/8,082.12 = 1,878.09/x
  3. Step 3: Cross multiply
    5,388.14x = 8,082.12 × 1,878.09
  4. Step 4: Simplify right side
    5,388.14x = 15,178,925.49
  5. Step 5: Solve for x
    x = 15,178,925.49/5,388.14
  6. Step 6: Final answer
    x = 2,817.10

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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.