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Finding the Fourth Proportional to 3,403.70, 5,098.80 and 2,997.80

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Solution

The fourth proportional to 3,403.70, 5,098.80 and 2,997.80 is: 4,490.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.70 : 5,098.80 = 2,997.80 : x
  2. Step 2: Convert to fraction form
    3,403.70/5,098.80 = 2,997.80/x
  3. Step 3: Cross multiply
    3,403.70x = 5,098.80 × 2,997.80
  4. Step 4: Simplify right side
    3,403.70x = 15,285,182.64
  5. Step 5: Solve for x
    x = 15,285,182.64/3,403.70
  6. Step 6: Final answer
    x = 4,490.75

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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.