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Finding the Fourth Proportional to 3,800.64, 5,693.24 and 3,182.60

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Solution

The fourth proportional to 3,800.64, 5,693.24 and 3,182.60 is: 4,767.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.64 : 5,693.24 = 3,182.60 : x
  2. Step 2: Convert to fraction form
    3,800.64/5,693.24 = 3,182.60/x
  3. Step 3: Cross multiply
    3,800.64x = 5,693.24 × 3,182.60
  4. Step 4: Simplify right side
    3,800.64x = 18,119,305.62
  5. Step 5: Solve for x
    x = 18,119,305.62/3,800.64
  6. Step 6: Final answer
    x = 4,767.44

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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.