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Finding the Fourth Proportional to 5,984.80, 8,910.04 and 5,956

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Solution

The fourth proportional to 5,984.80, 8,910.04 and 5,956 is: 8,867.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.80 : 8,910.04 = 5,956 : x
  2. Step 2: Convert to fraction form
    5,984.80/8,910.04 = 5,956/x
  3. Step 3: Cross multiply
    5,984.80x = 8,910.04 × 5,956
  4. Step 4: Simplify right side
    5,984.80x = 53,068,198.24
  5. Step 5: Solve for x
    x = 53,068,198.24/5,984.80
  6. Step 6: Final answer
    x = 8,867.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.