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Finding the Fourth Proportional to 5,983.92, 8,969.94 and 3,515.40

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Solution

The fourth proportional to 5,983.92, 8,969.94 and 3,515.40 is: 5,269.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983.92 : 8,969.94 = 3,515.40 : x
  2. Step 2: Convert to fraction form
    5,983.92/8,969.94 = 3,515.40/x
  3. Step 3: Cross multiply
    5,983.92x = 8,969.94 × 3,515.40
  4. Step 4: Simplify right side
    5,983.92x = 31,532,927.08
  5. Step 5: Solve for x
    x = 31,532,927.08/5,983.92
  6. Step 6: Final answer
    x = 5,269.61

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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.