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Finding the Fourth Proportional to 3,617.64, 4,991.31 and 2,291.94

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Solution

The fourth proportional to 3,617.64, 4,991.31 and 2,291.94 is: 3,162.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.64 : 4,991.31 = 2,291.94 : x
  2. Step 2: Convert to fraction form
    3,617.64/4,991.31 = 2,291.94/x
  3. Step 3: Cross multiply
    3,617.64x = 4,991.31 × 2,291.94
  4. Step 4: Simplify right side
    3,617.64x = 11,439,783.04
  5. Step 5: Solve for x
    x = 11,439,783.04/3,617.64
  6. Step 6: Final answer
    x = 3,162.22

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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.