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Finding the Fourth Proportional to 5,983.80, 8,972.71 and 3,485.84

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Solution

The fourth proportional to 5,983.80, 8,972.71 and 3,485.84 is: 5,227.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983.80 : 8,972.71 = 3,485.84 : x
  2. Step 2: Convert to fraction form
    5,983.80/8,972.71 = 3,485.84/x
  3. Step 3: Cross multiply
    5,983.80x = 8,972.71 × 3,485.84
  4. Step 4: Simplify right side
    5,983.80x = 31,277,431.43
  5. Step 5: Solve for x
    x = 31,277,431.43/5,983.80
  6. Step 6: Final answer
    x = 5,227.02

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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.