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Finding the Fourth Proportional to 4,286.48, 6,426.08 and 4,082.36

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Solution

The fourth proportional to 4,286.48, 6,426.08 and 4,082.36 is: 6,120.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.48 : 6,426.08 = 4,082.36 : x
  2. Step 2: Convert to fraction form
    4,286.48/6,426.08 = 4,082.36/x
  3. Step 3: Cross multiply
    4,286.48x = 6,426.08 × 4,082.36
  4. Step 4: Simplify right side
    4,286.48x = 26,233,551.54
  5. Step 5: Solve for x
    x = 26,233,551.54/4,286.48
  6. Step 6: Final answer
    x = 6,120.07

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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.