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Finding the Fourth Proportional to 4,734.41, 7,101.64 and 1,447.49

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Solution

The fourth proportional to 4,734.41, 7,101.64 and 1,447.49 is: 2,171.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.41 : 7,101.64 = 1,447.49 : x
  2. Step 2: Convert to fraction form
    4,734.41/7,101.64 = 1,447.49/x
  3. Step 3: Cross multiply
    4,734.41x = 7,101.64 × 1,447.49
  4. Step 4: Simplify right side
    4,734.41x = 10,279,545.65
  5. Step 5: Solve for x
    x = 10,279,545.65/4,734.41
  6. Step 6: Final answer
    x = 2,171.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.