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Finding the Fourth Proportional to 4,734.87, 7,102.04 and 1,447.89

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Solution

The fourth proportional to 4,734.87, 7,102.04 and 1,447.89 is: 2,171.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.87 : 7,102.04 = 1,447.89 : x
  2. Step 2: Convert to fraction form
    4,734.87/7,102.04 = 1,447.89/x
  3. Step 3: Cross multiply
    4,734.87x = 7,102.04 × 1,447.89
  4. Step 4: Simplify right side
    4,734.87x = 10,282,965.46
  5. Step 5: Solve for x
    x = 10,282,965.46/4,734.87
  6. Step 6: Final answer
    x = 2,171.75

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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.