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Finding the Fourth Proportional to 3,402.87, 4,697.63 and 2,644.87

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Solution

The fourth proportional to 3,402.87, 4,697.63 and 2,644.87 is: 3,651.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.87 : 4,697.63 = 2,644.87 : x
  2. Step 2: Convert to fraction form
    3,402.87/4,697.63 = 2,644.87/x
  3. Step 3: Cross multiply
    3,402.87x = 4,697.63 × 2,644.87
  4. Step 4: Simplify right side
    3,402.87x = 12,424,583.95
  5. Step 5: Solve for x
    x = 12,424,583.95/3,402.87
  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.