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Finding the Fourth Proportional to 3,645.80, 5,468.70 and 2,005.55

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Solution

The fourth proportional to 3,645.80, 5,468.70 and 2,005.55 is: 3,008.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.80 : 5,468.70 = 2,005.55 : x
  2. Step 2: Convert to fraction form
    3,645.80/5,468.70 = 2,005.55/x
  3. Step 3: Cross multiply
    3,645.80x = 5,468.70 × 2,005.55
  4. Step 4: Simplify right side
    3,645.80x = 10,967,751.29
  5. Step 5: Solve for x
    x = 10,967,751.29/3,645.80
  6. Step 6: Final answer
    x = 3,008.33

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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.