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Finding the Fourth Proportional to 3,715.49, 5,573.77 and 1,983.17

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Solution

The fourth proportional to 3,715.49, 5,573.77 and 1,983.17 is: 2,975.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715.49 : 5,573.77 = 1,983.17 : x
  2. Step 2: Convert to fraction form
    3,715.49/5,573.77 = 1,983.17/x
  3. Step 3: Cross multiply
    3,715.49x = 5,573.77 × 1,983.17
  4. Step 4: Simplify right side
    3,715.49x = 11,053,700.62
  5. Step 5: Solve for x
    x = 11,053,700.62/3,715.49
  6. Step 6: Final answer
    x = 2,975.04

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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.