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Finding the Fourth Proportional to 3,838.75, 5,758.88 and 1,758.82

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Solution

The fourth proportional to 3,838.75, 5,758.88 and 1,758.82 is: 2,638.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.75 : 5,758.88 = 1,758.82 : x
  2. Step 2: Convert to fraction form
    3,838.75/5,758.88 = 1,758.82/x
  3. Step 3: Cross multiply
    3,838.75x = 5,758.88 × 1,758.82
  4. Step 4: Simplify right side
    3,838.75x = 10,128,833.32
  5. Step 5: Solve for x
    x = 10,128,833.32/3,838.75
  6. Step 6: Final answer
    x = 2,638.58

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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.