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Finding the Fourth Proportional to 4,067.62, 6,102 and 1,294

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Solution

The fourth proportional to 4,067.62, 6,102 and 1,294 is: 1,941.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,067.62 : 6,102 = 1,294 : x
  2. Step 2: Convert to fraction form
    4,067.62/6,102 = 1,294/x
  3. Step 3: Cross multiply
    4,067.62x = 6,102 × 1,294
  4. Step 4: Simplify right side
    4,067.62x = 7,895,988
  5. Step 5: Solve for x
    x = 7,895,988/4,067.62
  6. Step 6: Final answer
    x = 1,941.18

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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.