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Finding the Fourth Proportional to 4,644.13, 6,405.18 and 3,747.63

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Solution

The fourth proportional to 4,644.13, 6,405.18 and 3,747.63 is: 5,168.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.13 : 6,405.18 = 3,747.63 : x
  2. Step 2: Convert to fraction form
    4,644.13/6,405.18 = 3,747.63/x
  3. Step 3: Cross multiply
    4,644.13x = 6,405.18 × 3,747.63
  4. Step 4: Simplify right side
    4,644.13x = 24,004,227.67
  5. Step 5: Solve for x
    x = 24,004,227.67/4,644.13
  6. Step 6: Final answer
    x = 5,168.73

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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.