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Finding the Fourth Proportional to 5,388.57, 8,082.86 and 1,439.84

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Solution

The fourth proportional to 5,388.57, 8,082.86 and 1,439.84 is: 2,159.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,388.57 : 8,082.86 = 1,439.84 : x
  2. Step 2: Convert to fraction form
    5,388.57/8,082.86 = 1,439.84/x
  3. Step 3: Cross multiply
    5,388.57x = 8,082.86 × 1,439.84
  4. Step 4: Simplify right side
    5,388.57x = 11,637,977.53
  5. Step 5: Solve for x
    x = 11,637,977.53/5,388.57
  6. Step 6: Final answer
    x = 2,159.75

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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.