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Finding the Fourth Proportional to 3,759.57, 5,188.70 and 2,268.34

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Solution

The fourth proportional to 3,759.57, 5,188.70 and 2,268.34 is: 3,130.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.57 : 5,188.70 = 2,268.34 : x
  2. Step 2: Convert to fraction form
    3,759.57/5,188.70 = 2,268.34/x
  3. Step 3: Cross multiply
    3,759.57x = 5,188.70 × 2,268.34
  4. Step 4: Simplify right side
    3,759.57x = 11,769,728.46
  5. Step 5: Solve for x
    x = 11,769,728.46/3,759.57
  6. Step 6: Final answer
    x = 3,130.60

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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.