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Finding the Fourth Proportional to 3,666.52, 5,497.05 and 2,205.33

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Solution

The fourth proportional to 3,666.52, 5,497.05 and 2,205.33 is: 3,306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.52 : 5,497.05 = 2,205.33 : x
  2. Step 2: Convert to fraction form
    3,666.52/5,497.05 = 2,205.33/x
  3. Step 3: Cross multiply
    3,666.52x = 5,497.05 × 2,205.33
  4. Step 4: Simplify right side
    3,666.52x = 12,122,815.45
  5. Step 5: Solve for x
    x = 12,122,815.45/3,666.52
  6. Step 6: Final answer
    x = 3,306.35

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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.