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Finding the Fourth Proportional to 3,632.64, 5,011.24 and 2,451.68

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Solution

The fourth proportional to 3,632.64, 5,011.24 and 2,451.68 is: 3,382.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.64 : 5,011.24 = 2,451.68 : x
  2. Step 2: Convert to fraction form
    3,632.64/5,011.24 = 2,451.68/x
  3. Step 3: Cross multiply
    3,632.64x = 5,011.24 × 2,451.68
  4. Step 4: Simplify right side
    3,632.64x = 12,285,956.88
  5. Step 5: Solve for x
    x = 12,285,956.88/3,632.64
  6. Step 6: Final answer
    x = 3,382.10

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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.