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Finding the Fourth Proportional to 3,463.95, 5,191.80 and 2,000.07

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Solution

The fourth proportional to 3,463.95, 5,191.80 and 2,000.07 is: 2,997.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.95 : 5,191.80 = 2,000.07 : x
  2. Step 2: Convert to fraction form
    3,463.95/5,191.80 = 2,000.07/x
  3. Step 3: Cross multiply
    3,463.95x = 5,191.80 × 2,000.07
  4. Step 4: Simplify right side
    3,463.95x = 10,383,963.43
  5. Step 5: Solve for x
    x = 10,383,963.43/3,463.95
  6. Step 6: Final answer
    x = 2,997.72

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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.