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Finding the Fourth Proportional to 3,666.98, 5,500.20 and 1,168.07

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Solution

The fourth proportional to 3,666.98, 5,500.20 and 1,168.07 is: 1,752.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.98 : 5,500.20 = 1,168.07 : x
  2. Step 2: Convert to fraction form
    3,666.98/5,500.20 = 1,168.07/x
  3. Step 3: Cross multiply
    3,666.98x = 5,500.20 × 1,168.07
  4. Step 4: Simplify right side
    3,666.98x = 6,424,635.28
  5. Step 5: Solve for x
    x = 6,424,635.28/3,666.98
  6. Step 6: Final answer
    x = 1,752.02

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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.