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Finding the Fourth Proportional to 5,092.74, 7,638.01 and 1,805.94

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Solution

The fourth proportional to 5,092.74, 7,638.01 and 1,805.94 is: 2,708.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,092.74 : 7,638.01 = 1,805.94 : x
  2. Step 2: Convert to fraction form
    5,092.74/7,638.01 = 1,805.94/x
  3. Step 3: Cross multiply
    5,092.74x = 7,638.01 × 1,805.94
  4. Step 4: Simplify right side
    5,092.74x = 13,793,787.78
  5. Step 5: Solve for x
    x = 13,793,787.78/5,092.74
  6. Step 6: Final answer
    x = 2,708.52

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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.