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Finding the Fourth Proportional to 5,943.84, 8,197.38 and 3,703.38

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Solution

The fourth proportional to 5,943.84, 8,197.38 and 3,703.38 is: 5,107.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,943.84 : 8,197.38 = 3,703.38 : x
  2. Step 2: Convert to fraction form
    5,943.84/8,197.38 = 3,703.38/x
  3. Step 3: Cross multiply
    5,943.84x = 8,197.38 × 3,703.38
  4. Step 4: Simplify right side
    5,943.84x = 30,358,013.14
  5. Step 5: Solve for x
    x = 30,358,013.14/5,943.84
  6. Step 6: Final answer
    x = 5,107.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.