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Finding the Fourth Proportional to 3,632.94, 5,005.74 and 2,451.96

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Solution

The fourth proportional to 3,632.94, 5,005.74 and 2,451.96 is: 3,378.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.94 : 5,005.74 = 2,451.96 : x
  2. Step 2: Convert to fraction form
    3,632.94/5,005.74 = 2,451.96/x
  3. Step 3: Cross multiply
    3,632.94x = 5,005.74 × 2,451.96
  4. Step 4: Simplify right side
    3,632.94x = 12,273,874.25
  5. Step 5: Solve for x
    x = 12,273,874.25/3,632.94
  6. Step 6: Final answer
    x = 3,378.50

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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.