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Finding the Fourth Proportional to 3,596.24, 5,393.24 and 2,363.60

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Solution

The fourth proportional to 3,596.24, 5,393.24 and 2,363.60 is: 3,544.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.24 : 5,393.24 = 2,363.60 : x
  2. Step 2: Convert to fraction form
    3,596.24/5,393.24 = 2,363.60/x
  3. Step 3: Cross multiply
    3,596.24x = 5,393.24 × 2,363.60
  4. Step 4: Simplify right side
    3,596.24x = 12,747,462.06
  5. Step 5: Solve for x
    x = 12,747,462.06/3,596.24
  6. Step 6: Final answer
    x = 3,544.66

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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.