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Finding the Fourth Proportional to 3,596.40, 4,963.44 and 2,024.64

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Solution

The fourth proportional to 3,596.40, 4,963.44 and 2,024.64 is: 2,794.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.40 : 4,963.44 = 2,024.64 : x
  2. Step 2: Convert to fraction form
    3,596.40/4,963.44 = 2,024.64/x
  3. Step 3: Cross multiply
    3,596.40x = 4,963.44 × 2,024.64
  4. Step 4: Simplify right side
    3,596.40x = 10,049,179.16
  5. Step 5: Solve for x
    x = 10,049,179.16/3,596.40
  6. Step 6: Final answer
    x = 2,794.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.