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Finding the Fourth Proportional to 4,286.57, 6,428.48 and 1,364.20

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Solution

The fourth proportional to 4,286.57, 6,428.48 and 1,364.20 is: 2,045.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.57 : 6,428.48 = 1,364.20 : x
  2. Step 2: Convert to fraction form
    4,286.57/6,428.48 = 1,364.20/x
  3. Step 3: Cross multiply
    4,286.57x = 6,428.48 × 1,364.20
  4. Step 4: Simplify right side
    4,286.57x = 8,769,732.42
  5. Step 5: Solve for x
    x = 8,769,732.42/4,286.57
  6. Step 6: Final answer
    x = 2,045.86

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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.