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Finding the Fourth Proportional to 3,685.84, 5,525.43 and 2,205.52

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Solution

The fourth proportional to 3,685.84, 5,525.43 and 2,205.52 is: 3,306.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.84 : 5,525.43 = 2,205.52 : x
  2. Step 2: Convert to fraction form
    3,685.84/5,525.43 = 2,205.52/x
  3. Step 3: Cross multiply
    3,685.84x = 5,525.43 × 2,205.52
  4. Step 4: Simplify right side
    3,685.84x = 12,186,446.37
  5. Step 5: Solve for x
    x = 12,186,446.37/3,685.84
  6. Step 6: Final answer
    x = 3,306.29

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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.