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Finding the Fourth Proportional to 3,632.96, 5,422.68 and 3,376.16

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Solution

The fourth proportional to 3,632.96, 5,422.68 and 3,376.16 is: 5,039.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.96 : 5,422.68 = 3,376.16 : x
  2. Step 2: Convert to fraction form
    3,632.96/5,422.68 = 3,376.16/x
  3. Step 3: Cross multiply
    3,632.96x = 5,422.68 × 3,376.16
  4. Step 4: Simplify right side
    3,632.96x = 18,307,835.31
  5. Step 5: Solve for x
    x = 18,307,835.31/3,632.96
  6. Step 6: Final answer
    x = 5,039.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.