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Finding the Fourth Proportional to 5,394.24, 8,082.56 and 4,530.24

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Solution

The fourth proportional to 5,394.24, 8,082.56 and 4,530.24 is: 6,787.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,394.24 : 8,082.56 = 4,530.24 : x
  2. Step 2: Convert to fraction form
    5,394.24/8,082.56 = 4,530.24/x
  3. Step 3: Cross multiply
    5,394.24x = 8,082.56 × 4,530.24
  4. Step 4: Simplify right side
    5,394.24x = 36,615,936.61
  5. Step 5: Solve for x
    x = 36,615,936.61/5,394.24
  6. Step 6: Final answer
    x = 6,787.97

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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.