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Finding the Fourth Proportional to 3,381.94, 5,072.88 and 2,565.22

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Solution

The fourth proportional to 3,381.94, 5,072.88 and 2,565.22 is: 3,847.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.94 : 5,072.88 = 2,565.22 : x
  2. Step 2: Convert to fraction form
    3,381.94/5,072.88 = 2,565.22/x
  3. Step 3: Cross multiply
    3,381.94x = 5,072.88 × 2,565.22
  4. Step 4: Simplify right side
    3,381.94x = 13,013,053.23
  5. Step 5: Solve for x
    x = 13,013,053.23/3,381.94
  6. Step 6: Final answer
    x = 3,847.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.