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Finding the Fourth Proportional to 4,734.74, 7,102.08 and 1,447.82

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Solution

The fourth proportional to 4,734.74, 7,102.08 and 1,447.82 is: 2,171.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.74 : 7,102.08 = 1,447.82 : x
  2. Step 2: Convert to fraction form
    4,734.74/7,102.08 = 1,447.82/x
  3. Step 3: Cross multiply
    4,734.74x = 7,102.08 × 1,447.82
  4. Step 4: Simplify right side
    4,734.74x = 10,282,564.54
  5. Step 5: Solve for x
    x = 10,282,564.54/4,734.74
  6. Step 6: Final answer
    x = 2,171.73

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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.