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Finding the Fourth Proportional to 3,777.75, 5,213.97 and 2,565.92

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Solution

The fourth proportional to 3,777.75, 5,213.97 and 2,565.92 is: 3,541.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.75 : 5,213.97 = 2,565.92 : x
  2. Step 2: Convert to fraction form
    3,777.75/5,213.97 = 2,565.92/x
  3. Step 3: Cross multiply
    3,777.75x = 5,213.97 × 2,565.92
  4. Step 4: Simplify right side
    3,777.75x = 13,378,642.94
  5. Step 5: Solve for x
    x = 13,378,642.94/3,777.75
  6. Step 6: Final answer
    x = 3,541.43

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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.