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Finding the Fourth Proportional to 3,703.96, 5,553.78 and 1,106.20

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Solution

The fourth proportional to 3,703.96, 5,553.78 and 1,106.20 is: 1,658.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.96 : 5,553.78 = 1,106.20 : x
  2. Step 2: Convert to fraction form
    3,703.96/5,553.78 = 1,106.20/x
  3. Step 3: Cross multiply
    3,703.96x = 5,553.78 × 1,106.20
  4. Step 4: Simplify right side
    3,703.96x = 6,143,591.44
  5. Step 5: Solve for x
    x = 6,143,591.44/3,703.96
  6. Step 6: Final answer
    x = 1,658.65

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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.