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Finding the Fourth Proportional to 5,741, 7,922.58 and 3,257

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Solution

The fourth proportional to 5,741, 7,922.58 and 3,257 is: 4,494.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741 : 7,922.58 = 3,257 : x
  2. Step 2: Convert to fraction form
    5,741/7,922.58 = 3,257/x
  3. Step 3: Cross multiply
    5,741x = 7,922.58 × 3,257
  4. Step 4: Simplify right side
    5,741x = 25,803,843.06
  5. Step 5: Solve for x
    x = 25,803,843.06/5,741
  6. Step 6: Final answer
    x = 4,494.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.