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Finding the Fourth Proportional to 3,632.96, 5,012 and 2,529.60

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Solution

The fourth proportional to 3,632.96, 5,012 and 2,529.60 is: 3,489.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.96 : 5,012 = 2,529.60 : x
  2. Step 2: Convert to fraction form
    3,632.96/5,012 = 2,529.60/x
  3. Step 3: Cross multiply
    3,632.96x = 5,012 × 2,529.60
  4. Step 4: Simplify right side
    3,632.96x = 12,678,355.20
  5. Step 5: Solve for x
    x = 12,678,355.20/3,632.96
  6. Step 6: Final answer
    x = 3,489.81

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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.