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Finding the Fourth Proportional to 5,283.97, 7,926.56 and 3,092.72

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Solution

The fourth proportional to 5,283.97, 7,926.56 and 3,092.72 is: 4,639.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.97 : 7,926.56 = 3,092.72 : x
  2. Step 2: Convert to fraction form
    5,283.97/7,926.56 = 3,092.72/x
  3. Step 3: Cross multiply
    5,283.97x = 7,926.56 × 3,092.72
  4. Step 4: Simplify right side
    5,283.97x = 24,514,587.14
  5. Step 5: Solve for x
    x = 24,514,587.14/5,283.97
  6. Step 6: Final answer
    x = 4,639.43

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1.5x scale

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.