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Finding the Fourth Proportional to 3,697.42, 5,545.82 and 1,100.36

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Solution

The fourth proportional to 3,697.42, 5,545.82 and 1,100.36 is: 1,650.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.42 : 5,545.82 = 1,100.36 : x
  2. Step 2: Convert to fraction form
    3,697.42/5,545.82 = 1,100.36/x
  3. Step 3: Cross multiply
    3,697.42x = 5,545.82 × 1,100.36
  4. Step 4: Simplify right side
    3,697.42x = 6,102,373.52
  5. Step 5: Solve for x
    x = 6,102,373.52/3,697.42
  6. Step 6: Final answer
    x = 1,650.44

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Why These Related Problems?

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