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Finding the Fourth Proportional to 3,702.32, 5,550.74 and 2,241.14

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Solution

The fourth proportional to 3,702.32, 5,550.74 and 2,241.14 is: 3,360.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.32 : 5,550.74 = 2,241.14 : x
  2. Step 2: Convert to fraction form
    3,702.32/5,550.74 = 2,241.14/x
  3. Step 3: Cross multiply
    3,702.32x = 5,550.74 × 2,241.14
  4. Step 4: Simplify right side
    3,702.32x = 12,439,974.24
  5. Step 5: Solve for x
    x = 12,439,974.24/3,702.32
  6. Step 6: Final answer
    x = 3,360.05

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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.