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Finding the Fourth Proportional to 3,650.34, 5,471.28 and 1,698.42

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Solution

The fourth proportional to 3,650.34, 5,471.28 and 1,698.42 is: 2,545.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.34 : 5,471.28 = 1,698.42 : x
  2. Step 2: Convert to fraction form
    3,650.34/5,471.28 = 1,698.42/x
  3. Step 3: Cross multiply
    3,650.34x = 5,471.28 × 1,698.42
  4. Step 4: Simplify right side
    3,650.34x = 9,292,531.38
  5. Step 5: Solve for x
    x = 9,292,531.38/3,650.34
  6. Step 6: Final answer
    x = 2,545.66

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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.