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Finding the Fourth Proportional to 3,332.69, 4,997.61 and 1,141.64

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Solution

The fourth proportional to 3,332.69, 4,997.61 and 1,141.64 is: 1,711.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,332.69 : 4,997.61 = 1,141.64 : x
  2. Step 2: Convert to fraction form
    3,332.69/4,997.61 = 1,141.64/x
  3. Step 3: Cross multiply
    3,332.69x = 4,997.61 × 1,141.64
  4. Step 4: Simplify right side
    3,332.69x = 5,705,471.48
  5. Step 5: Solve for x
    x = 5,705,471.48/3,332.69
  6. Step 6: Final answer
    x = 1,711.97

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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.