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Finding the Fourth Proportional to 4,734.86, 7,103.31 and 1,447.85

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Solution

The fourth proportional to 4,734.86, 7,103.31 and 1,447.85 is: 2,172.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.86 : 7,103.31 = 1,447.85 : x
  2. Step 2: Convert to fraction form
    4,734.86/7,103.31 = 1,447.85/x
  3. Step 3: Cross multiply
    4,734.86x = 7,103.31 × 1,447.85
  4. Step 4: Simplify right side
    4,734.86x = 10,284,486.44
  5. Step 5: Solve for x
    x = 10,284,486.44/4,734.86
  6. Step 6: Final answer
    x = 2,172.08

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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.