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Finding the Fourth Proportional to 3,332.24, 4,997.40 and 992.14

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Solution

The fourth proportional to 3,332.24, 4,997.40 and 992.14 is: 1,487.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,332.24 : 4,997.40 = 992.14 : x
  2. Step 2: Convert to fraction form
    3,332.24/4,997.40 = 992.14/x
  3. Step 3: Cross multiply
    3,332.24x = 4,997.40 × 992.14
  4. Step 4: Simplify right side
    3,332.24x = 4,958,120.44
  5. Step 5: Solve for x
    x = 4,958,120.44/3,332.24
  6. Step 6: Final answer
    x = 1,487.92

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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.