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Finding the Fourth Proportional to 5,265.80, 7,895.79 and 2,145

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Solution

The fourth proportional to 5,265.80, 7,895.79 and 2,145 is: 3,216.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.80 : 7,895.79 = 2,145 : x
  2. Step 2: Convert to fraction form
    5,265.80/7,895.79 = 2,145/x
  3. Step 3: Cross multiply
    5,265.80x = 7,895.79 × 2,145
  4. Step 4: Simplify right side
    5,265.80x = 16,936,469.55
  5. Step 5: Solve for x
    x = 16,936,469.55/5,265.80
  6. Step 6: Final answer
    x = 3,216.32

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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.