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Finding the Fourth Proportional to 4,972.24, 7,462.68 and 3,434.32

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Solution

The fourth proportional to 4,972.24, 7,462.68 and 3,434.32 is: 5,154.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.24 : 7,462.68 = 3,434.32 : x
  2. Step 2: Convert to fraction form
    4,972.24/7,462.68 = 3,434.32/x
  3. Step 3: Cross multiply
    4,972.24x = 7,462.68 × 3,434.32
  4. Step 4: Simplify right side
    4,972.24x = 25,629,231.18
  5. Step 5: Solve for x
    x = 25,629,231.18/4,972.24
  6. Step 6: Final answer
    x = 5,154.46

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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.