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Finding the Fourth Proportional to 4,000.77, 6,000.98 and 2,832.43

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Solution

The fourth proportional to 4,000.77, 6,000.98 and 2,832.43 is: 4,248.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.77 : 6,000.98 = 2,832.43 : x
  2. Step 2: Convert to fraction form
    4,000.77/6,000.98 = 2,832.43/x
  3. Step 3: Cross multiply
    4,000.77x = 6,000.98 × 2,832.43
  4. Step 4: Simplify right side
    4,000.77x = 16,997,348.70
  5. Step 5: Solve for x
    x = 16,997,348.70/4,000.77
  6. Step 6: Final answer
    x = 4,248.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.