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Finding the Fourth Proportional to 3,762.38, 5,652.52 and 3,563.42

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Solution

The fourth proportional to 3,762.38, 5,652.52 and 3,563.42 is: 5,353.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.38 : 5,652.52 = 3,563.42 : x
  2. Step 2: Convert to fraction form
    3,762.38/5,652.52 = 3,563.42/x
  3. Step 3: Cross multiply
    3,762.38x = 5,652.52 × 3,563.42
  4. Step 4: Simplify right side
    3,762.38x = 20,142,265.65
  5. Step 5: Solve for x
    x = 20,142,265.65/3,762.38
  6. Step 6: Final answer
    x = 5,353.59

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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.