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Finding the Fourth Proportional to 4,734.52, 7,102.82 and 1,447.87

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Solution

The fourth proportional to 4,734.52, 7,102.82 and 1,447.87 is: 2,172.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.52 : 7,102.82 = 1,447.87 : x
  2. Step 2: Convert to fraction form
    4,734.52/7,102.82 = 1,447.87/x
  3. Step 3: Cross multiply
    4,734.52x = 7,102.82 × 1,447.87
  4. Step 4: Simplify right side
    4,734.52x = 10,283,917.24
  5. Step 5: Solve for x
    x = 10,283,917.24/4,734.52
  6. Step 6: Final answer
    x = 2,172.12

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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.