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Finding the Fourth Proportional to 4,734.24, 7,097.72 and 2,885

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Solution

The fourth proportional to 4,734.24, 7,097.72 and 2,885 is: 4,325.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.24 : 7,097.72 = 2,885 : x
  2. Step 2: Convert to fraction form
    4,734.24/7,097.72 = 2,885/x
  3. Step 3: Cross multiply
    4,734.24x = 7,097.72 × 2,885
  4. Step 4: Simplify right side
    4,734.24x = 20,476,922.20
  5. Step 5: Solve for x
    x = 20,476,922.20/4,734.24
  6. Step 6: Final answer
    x = 4,325.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.