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Finding the Fourth Proportional to 4,734.36, 7,101.26 and 1,447.18

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Solution

The fourth proportional to 4,734.36, 7,101.26 and 1,447.18 is: 2,170.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.36 : 7,101.26 = 1,447.18 : x
  2. Step 2: Convert to fraction form
    4,734.36/7,101.26 = 1,447.18/x
  3. Step 3: Cross multiply
    4,734.36x = 7,101.26 × 1,447.18
  4. Step 4: Simplify right side
    4,734.36x = 10,276,801.45
  5. Step 5: Solve for x
    x = 10,276,801.45/4,734.36
  6. Step 6: Final answer
    x = 2,170.68

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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.