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Finding the Fourth Proportional to 3,838.49, 5,758.17 and 1,373.57

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Solution

The fourth proportional to 3,838.49, 5,758.17 and 1,373.57 is: 2,060.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.49 : 5,758.17 = 1,373.57 : x
  2. Step 2: Convert to fraction form
    3,838.49/5,758.17 = 1,373.57/x
  3. Step 3: Cross multiply
    3,838.49x = 5,758.17 × 1,373.57
  4. Step 4: Simplify right side
    3,838.49x = 7,909,249.57
  5. Step 5: Solve for x
    x = 7,909,249.57/3,838.49
  6. Step 6: Final answer
    x = 2,060.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.