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Finding the Fourth Proportional to 4,734.02, 7,102.07 and 1,447.37

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Solution

The fourth proportional to 4,734.02, 7,102.07 and 1,447.37 is: 2,171.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.02 : 7,102.07 = 1,447.37 : x
  2. Step 2: Convert to fraction form
    4,734.02/7,102.07 = 1,447.37/x
  3. Step 3: Cross multiply
    4,734.02x = 7,102.07 × 1,447.37
  4. Step 4: Simplify right side
    4,734.02x = 10,279,280.31
  5. Step 5: Solve for x
    x = 10,279,280.31/4,734.02
  6. Step 6: Final answer
    x = 2,171.37

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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.