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Finding the Fourth Proportional to 5,537.84, 8,300.62 and 2,766.84

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Solution

The fourth proportional to 5,537.84, 8,300.62 and 2,766.84 is: 4,147.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.84 : 8,300.62 = 2,766.84 : x
  2. Step 2: Convert to fraction form
    5,537.84/8,300.62 = 2,766.84/x
  3. Step 3: Cross multiply
    5,537.84x = 8,300.62 × 2,766.84
  4. Step 4: Simplify right side
    5,537.84x = 22,966,487.44
  5. Step 5: Solve for x
    x = 22,966,487.44/5,537.84
  6. Step 6: Final answer
    x = 4,147.19

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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.