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Finding the Fourth Proportional to 3,771.30, 5,653.26 and 2,380.32

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Solution

The fourth proportional to 3,771.30, 5,653.26 and 2,380.32 is: 3,568.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.30 : 5,653.26 = 2,380.32 : x
  2. Step 2: Convert to fraction form
    3,771.30/5,653.26 = 2,380.32/x
  3. Step 3: Cross multiply
    3,771.30x = 5,653.26 × 2,380.32
  4. Step 4: Simplify right side
    3,771.30x = 13,456,567.84
  5. Step 5: Solve for x
    x = 13,456,567.84/3,771.30
  6. Step 6: Final answer
    x = 3,568.15

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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.