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Finding the Fourth Proportional to 4,734.36, 7,102.56 and 1,614.68

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Solution

The fourth proportional to 4,734.36, 7,102.56 and 1,614.68 is: 2,422.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.36 : 7,102.56 = 1,614.68 : x
  2. Step 2: Convert to fraction form
    4,734.36/7,102.56 = 1,614.68/x
  3. Step 3: Cross multiply
    4,734.36x = 7,102.56 × 1,614.68
  4. Step 4: Simplify right side
    4,734.36x = 11,468,361.58
  5. Step 5: Solve for x
    x = 11,468,361.58/4,734.36
  6. Step 6: Final answer
    x = 2,422.37

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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.