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Finding the Fourth Proportional to 3,136.13, 4,327.86 and 1,738.88

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Solution

The fourth proportional to 3,136.13, 4,327.86 and 1,738.88 is: 2,399.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.13 : 4,327.86 = 1,738.88 : x
  2. Step 2: Convert to fraction form
    3,136.13/4,327.86 = 1,738.88/x
  3. Step 3: Cross multiply
    3,136.13x = 4,327.86 × 1,738.88
  4. Step 4: Simplify right side
    3,136.13x = 7,525,629.20
  5. Step 5: Solve for x
    x = 7,525,629.20/3,136.13
  6. Step 6: Final answer
    x = 2,399.65

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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.