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Finding the Fourth Proportional to 4,774.04, 7,162.92 and 2,000

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Solution

The fourth proportional to 4,774.04, 7,162.92 and 2,000 is: 3,000.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.04 : 7,162.92 = 2,000 : x
  2. Step 2: Convert to fraction form
    4,774.04/7,162.92 = 2,000/x
  3. Step 3: Cross multiply
    4,774.04x = 7,162.92 × 2,000
  4. Step 4: Simplify right side
    4,774.04x = 14,325,840
  5. Step 5: Solve for x
    x = 14,325,840/4,774.04
  6. Step 6: Final answer
    x = 3,000.78

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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.