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Finding the Fourth Proportional to 3,490.04, 4,814.87 and 1,997.15

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Solution

The fourth proportional to 3,490.04, 4,814.87 and 1,997.15 is: 2,755.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.04 : 4,814.87 = 1,997.15 : x
  2. Step 2: Convert to fraction form
    3,490.04/4,814.87 = 1,997.15/x
  3. Step 3: Cross multiply
    3,490.04x = 4,814.87 × 1,997.15
  4. Step 4: Simplify right side
    3,490.04x = 9,615,998.54
  5. Step 5: Solve for x
    x = 9,615,998.54/3,490.04
  6. Step 6: Final answer
    x = 2,755.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.