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Finding the Fourth Proportional to 3,894.26, 5,839.01 and 1,554.62

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Solution

The fourth proportional to 3,894.26, 5,839.01 and 1,554.62 is: 2,330.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.26 : 5,839.01 = 1,554.62 : x
  2. Step 2: Convert to fraction form
    3,894.26/5,839.01 = 1,554.62/x
  3. Step 3: Cross multiply
    3,894.26x = 5,839.01 × 1,554.62
  4. Step 4: Simplify right side
    3,894.26x = 9,077,404.76
  5. Step 5: Solve for x
    x = 9,077,404.76/3,894.26
  6. Step 6: Final answer
    x = 2,330.97

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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.