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Finding the Fourth Proportional to 5,992.50, 8,269.66 and 3,340

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Solution

The fourth proportional to 5,992.50, 8,269.66 and 3,340 is: 4,609.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,992.50 : 8,269.66 = 3,340 : x
  2. Step 2: Convert to fraction form
    5,992.50/8,269.66 = 3,340/x
  3. Step 3: Cross multiply
    5,992.50x = 8,269.66 × 3,340
  4. Step 4: Simplify right side
    5,992.50x = 27,620,664.40
  5. Step 5: Solve for x
    x = 27,620,664.40/5,992.50
  6. Step 6: Final answer
    x = 4,609.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.