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Finding the Fourth Proportional to 5,205.88, 7,808.82 and 2,127.88

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Solution

The fourth proportional to 5,205.88, 7,808.82 and 2,127.88 is: 3,191.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.88 : 7,808.82 = 2,127.88 : x
  2. Step 2: Convert to fraction form
    5,205.88/7,808.82 = 2,127.88/x
  3. Step 3: Cross multiply
    5,205.88x = 7,808.82 × 2,127.88
  4. Step 4: Simplify right side
    5,205.88x = 16,616,192.86
  5. Step 5: Solve for x
    x = 16,616,192.86/5,205.88
  6. Step 6: Final answer
    x = 3,191.82

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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.