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Finding the Fourth Proportional to 3,871.86, 5,346.69 and 3,452.22

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Solution

The fourth proportional to 3,871.86, 5,346.69 and 3,452.22 is: 4,767.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.86 : 5,346.69 = 3,452.22 : x
  2. Step 2: Convert to fraction form
    3,871.86/5,346.69 = 3,452.22/x
  3. Step 3: Cross multiply
    3,871.86x = 5,346.69 × 3,452.22
  4. Step 4: Simplify right side
    3,871.86x = 18,457,950.15
  5. Step 5: Solve for x
    x = 18,457,950.15/3,871.86
  6. Step 6: Final answer
    x = 4,767.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.