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Finding the Fourth Proportional to 3,596.42, 4,963.13 and 2,003.10

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Solution

The fourth proportional to 3,596.42, 4,963.13 and 2,003.10 is: 2,764.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.42 : 4,963.13 = 2,003.10 : x
  2. Step 2: Convert to fraction form
    3,596.42/4,963.13 = 2,003.10/x
  3. Step 3: Cross multiply
    3,596.42x = 4,963.13 × 2,003.10
  4. Step 4: Simplify right side
    3,596.42x = 9,941,635.69
  5. Step 5: Solve for x
    x = 9,941,635.69/3,596.42
  6. Step 6: Final answer
    x = 2,764.32

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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.