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Finding the Fourth Proportional to 4,734.08, 7,102.41 and 1,447.10

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Solution

The fourth proportional to 4,734.08, 7,102.41 and 1,447.10 is: 2,171.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.08 : 7,102.41 = 1,447.10 : x
  2. Step 2: Convert to fraction form
    4,734.08/7,102.41 = 1,447.10/x
  3. Step 3: Cross multiply
    4,734.08x = 7,102.41 × 1,447.10
  4. Step 4: Simplify right side
    4,734.08x = 10,277,883.21
  5. Step 5: Solve for x
    x = 10,277,883.21/4,734.08
  6. Step 6: Final answer
    x = 2,171.04

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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.