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Finding the Fourth Proportional to 3,596.36, 5,395.15 and 1,648.73

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Solution

The fourth proportional to 3,596.36, 5,395.15 and 1,648.73 is: 2,473.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.36 : 5,395.15 = 1,648.73 : x
  2. Step 2: Convert to fraction form
    3,596.36/5,395.15 = 1,648.73/x
  3. Step 3: Cross multiply
    3,596.36x = 5,395.15 × 1,648.73
  4. Step 4: Simplify right side
    3,596.36x = 8,895,114.56
  5. Step 5: Solve for x
    x = 8,895,114.56/3,596.36
  6. Step 6: Final answer
    x = 2,473.37

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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.