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Finding the Fourth Proportional to 3,847.86, 5,762.52 and 2,199.42

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Solution

The fourth proportional to 3,847.86, 5,762.52 and 2,199.42 is: 3,293.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.86 : 5,762.52 = 2,199.42 : x
  2. Step 2: Convert to fraction form
    3,847.86/5,762.52 = 2,199.42/x
  3. Step 3: Cross multiply
    3,847.86x = 5,762.52 × 2,199.42
  4. Step 4: Simplify right side
    3,847.86x = 12,674,201.74
  5. Step 5: Solve for x
    x = 12,674,201.74/3,847.86
  6. Step 6: Final answer
    x = 3,293.83

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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.