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Finding the Fourth Proportional to 3,852.24, 5,773.04 and 2,205.32

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Solution

The fourth proportional to 3,852.24, 5,773.04 and 2,205.32 is: 3,304.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.24 : 5,773.04 = 2,205.32 : x
  2. Step 2: Convert to fraction form
    3,852.24/5,773.04 = 2,205.32/x
  3. Step 3: Cross multiply
    3,852.24x = 5,773.04 × 2,205.32
  4. Step 4: Simplify right side
    3,852.24x = 12,731,400.57
  5. Step 5: Solve for x
    x = 12,731,400.57/3,852.24
  6. Step 6: Final answer
    x = 3,304.93

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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.