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Finding the Fourth Proportional to 4,193.28, 6,285.84 and 2,001.44

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Solution

The fourth proportional to 4,193.28, 6,285.84 and 2,001.44 is: 3,000.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.28 : 6,285.84 = 2,001.44 : x
  2. Step 2: Convert to fraction form
    4,193.28/6,285.84 = 2,001.44/x
  3. Step 3: Cross multiply
    4,193.28x = 6,285.84 × 2,001.44
  4. Step 4: Simplify right side
    4,193.28x = 12,580,731.61
  5. Step 5: Solve for x
    x = 12,580,731.61/4,193.28
  6. Step 6: Final answer
    x = 3,000.21

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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.