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Finding the Fourth Proportional to 3,451.86, 5,178.43 and 2,462.21

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Solution

The fourth proportional to 3,451.86, 5,178.43 and 2,462.21 is: 3,693.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.86 : 5,178.43 = 2,462.21 : x
  2. Step 2: Convert to fraction form
    3,451.86/5,178.43 = 2,462.21/x
  3. Step 3: Cross multiply
    3,451.86x = 5,178.43 × 2,462.21
  4. Step 4: Simplify right side
    3,451.86x = 12,750,382.13
  5. Step 5: Solve for x
    x = 12,750,382.13/3,451.86
  6. Step 6: Final answer
    x = 3,693.77

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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.