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Finding the Fourth Proportional to 3,442.63, 4,753.12 and 2,644.53

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Solution

The fourth proportional to 3,442.63, 4,753.12 and 2,644.53 is: 3,651.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.63 : 4,753.12 = 2,644.53 : x
  2. Step 2: Convert to fraction form
    3,442.63/4,753.12 = 2,644.53/x
  3. Step 3: Cross multiply
    3,442.63x = 4,753.12 × 2,644.53
  4. Step 4: Simplify right side
    3,442.63x = 12,569,768.43
  5. Step 5: Solve for x
    x = 12,569,768.43/3,442.63
  6. Step 6: Final answer
    x = 3,651.21

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Why These Related Problems?

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