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Finding the Fourth Proportional to 3,596.85, 4,963.64 and 2,024.96

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Solution

The fourth proportional to 3,596.85, 4,963.64 and 2,024.96 is: 2,794.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.85 : 4,963.64 = 2,024.96 : x
  2. Step 2: Convert to fraction form
    3,596.85/4,963.64 = 2,024.96/x
  3. Step 3: Cross multiply
    3,596.85x = 4,963.64 × 2,024.96
  4. Step 4: Simplify right side
    3,596.85x = 10,051,137.51
  5. Step 5: Solve for x
    x = 10,051,137.51/3,596.85
  6. Step 6: Final answer
    x = 2,794.43

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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.