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Finding the Fourth Proportional to 3,760.99, 5,188.54 and 2,268.08

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Solution

The fourth proportional to 3,760.99, 5,188.54 and 2,268.08 is: 3,128.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.99 : 5,188.54 = 2,268.08 : x
  2. Step 2: Convert to fraction form
    3,760.99/5,188.54 = 2,268.08/x
  3. Step 3: Cross multiply
    3,760.99x = 5,188.54 × 2,268.08
  4. Step 4: Simplify right side
    3,760.99x = 11,768,043.71
  5. Step 5: Solve for x
    x = 11,768,043.71/3,760.99
  6. Step 6: Final answer
    x = 3,128.97

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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.