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Finding the Fourth Proportional to 5,952.64, 8,922.48 and 4,000

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Solution

The fourth proportional to 5,952.64, 8,922.48 and 4,000 is: 5,995.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.64 : 8,922.48 = 4,000 : x
  2. Step 2: Convert to fraction form
    5,952.64/8,922.48 = 4,000/x
  3. Step 3: Cross multiply
    5,952.64x = 8,922.48 × 4,000
  4. Step 4: Simplify right side
    5,952.64x = 35,689,920
  5. Step 5: Solve for x
    x = 35,689,920/5,952.64
  6. Step 6: Final answer
    x = 5,995.65

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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.