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Finding the Fourth Proportional to 3,537.96, 4,882.62 and 2,361

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Solution

The fourth proportional to 3,537.96, 4,882.62 and 2,361 is: 3,258.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.96 : 4,882.62 = 2,361 : x
  2. Step 2: Convert to fraction form
    3,537.96/4,882.62 = 2,361/x
  3. Step 3: Cross multiply
    3,537.96x = 4,882.62 × 2,361
  4. Step 4: Simplify right side
    3,537.96x = 11,527,865.82
  5. Step 5: Solve for x
    x = 11,527,865.82/3,537.96
  6. Step 6: Final answer
    x = 3,258.34

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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.