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Finding the Fourth Proportional to 4,734.16, 7,101.20 and 1,447.24

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Solution

The fourth proportional to 4,734.16, 7,101.20 and 1,447.24 is: 2,170.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.16 : 7,101.20 = 1,447.24 : x
  2. Step 2: Convert to fraction form
    4,734.16/7,101.20 = 1,447.24/x
  3. Step 3: Cross multiply
    4,734.16x = 7,101.20 × 1,447.24
  4. Step 4: Simplify right side
    4,734.16x = 10,277,140.69
  5. Step 5: Solve for x
    x = 10,277,140.69/4,734.16
  6. Step 6: Final answer
    x = 2,170.85

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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.