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Finding the Fourth Proportional to 3,800.34, 5,245.38 and 2,402.82

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Solution

The fourth proportional to 3,800.34, 5,245.38 and 2,402.82 is: 3,316.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.34 : 5,245.38 = 2,402.82 : x
  2. Step 2: Convert to fraction form
    3,800.34/5,245.38 = 2,402.82/x
  3. Step 3: Cross multiply
    3,800.34x = 5,245.38 × 2,402.82
  4. Step 4: Simplify right side
    3,800.34x = 12,603,703.97
  5. Step 5: Solve for x
    x = 12,603,703.97/3,800.34
  6. Step 6: Final answer
    x = 3,316.47

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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.