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Finding the Fourth Proportional to 3,596.46, 4,963.85 and 2,269.27

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Solution

The fourth proportional to 3,596.46, 4,963.85 and 2,269.27 is: 3,132.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.46 : 4,963.85 = 2,269.27 : x
  2. Step 2: Convert to fraction form
    3,596.46/4,963.85 = 2,269.27/x
  3. Step 3: Cross multiply
    3,596.46x = 4,963.85 × 2,269.27
  4. Step 4: Simplify right side
    3,596.46x = 11,264,315.89
  5. Step 5: Solve for x
    x = 11,264,315.89/3,596.46
  6. Step 6: Final answer
    x = 3,132.06

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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.