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Finding the Fourth Proportional to 3,487.68, 4,812.96 and 2,161.44

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Solution

The fourth proportional to 3,487.68, 4,812.96 and 2,161.44 is: 2,982.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.68 : 4,812.96 = 2,161.44 : x
  2. Step 2: Convert to fraction form
    3,487.68/4,812.96 = 2,161.44/x
  3. Step 3: Cross multiply
    3,487.68x = 4,812.96 × 2,161.44
  4. Step 4: Simplify right side
    3,487.68x = 10,402,924.26
  5. Step 5: Solve for x
    x = 10,402,924.26/3,487.68
  6. Step 6: Final answer
    x = 2,982.76

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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.