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Finding the Fourth Proportional to 3,983.64, 5,497.74 and 2,491.80

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Solution

The fourth proportional to 3,983.64, 5,497.74 and 2,491.80 is: 3,438.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.64 : 5,497.74 = 2,491.80 : x
  2. Step 2: Convert to fraction form
    3,983.64/5,497.74 = 2,491.80/x
  3. Step 3: Cross multiply
    3,983.64x = 5,497.74 × 2,491.80
  4. Step 4: Simplify right side
    3,983.64x = 13,699,268.53
  5. Step 5: Solve for x
    x = 13,699,268.53/3,983.64
  6. Step 6: Final answer
    x = 3,438.88

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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.