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Finding the Fourth Proportional to 3,682.76, 5,081.75 and 2,490.34

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Solution

The fourth proportional to 3,682.76, 5,081.75 and 2,490.34 is: 3,436.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.76 : 5,081.75 = 2,490.34 : x
  2. Step 2: Convert to fraction form
    3,682.76/5,081.75 = 2,490.34/x
  3. Step 3: Cross multiply
    3,682.76x = 5,081.75 × 2,490.34
  4. Step 4: Simplify right side
    3,682.76x = 12,655,285.30
  5. Step 5: Solve for x
    x = 12,655,285.30/3,682.76
  6. Step 6: Final answer
    x = 3,436.36

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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.