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Finding the Fourth Proportional to 5,787.67, 8,680.81 and 1,513.11

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Solution

The fourth proportional to 5,787.67, 8,680.81 and 1,513.11 is: 2,269.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.67 : 8,680.81 = 1,513.11 : x
  2. Step 2: Convert to fraction form
    5,787.67/8,680.81 = 1,513.11/x
  3. Step 3: Cross multiply
    5,787.67x = 8,680.81 × 1,513.11
  4. Step 4: Simplify right side
    5,787.67x = 13,135,020.42
  5. Step 5: Solve for x
    x = 13,135,020.42/5,787.67
  6. Step 6: Final answer
    x = 2,269.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.