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Finding the Fourth Proportional to 3,666.34, 5,487.48 and 1,997.92

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Solution

The fourth proportional to 3,666.34, 5,487.48 and 1,997.92 is: 2,990.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.34 : 5,487.48 = 1,997.92 : x
  2. Step 2: Convert to fraction form
    3,666.34/5,487.48 = 1,997.92/x
  3. Step 3: Cross multiply
    3,666.34x = 5,487.48 × 1,997.92
  4. Step 4: Simplify right side
    3,666.34x = 10,963,532.32
  5. Step 5: Solve for x
    x = 10,963,532.32/3,666.34
  6. Step 6: Final answer
    x = 2,990.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.