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Finding the Fourth Proportional to 3,800.98, 5,245.29 and 2,680.74

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Solution

The fourth proportional to 3,800.98, 5,245.29 and 2,680.74 is: 3,699.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.98 : 5,245.29 = 2,680.74 : x
  2. Step 2: Convert to fraction form
    3,800.98/5,245.29 = 2,680.74/x
  3. Step 3: Cross multiply
    3,800.98x = 5,245.29 × 2,680.74
  4. Step 4: Simplify right side
    3,800.98x = 14,061,258.71
  5. Step 5: Solve for x
    x = 14,061,258.71/3,800.98
  6. Step 6: Final answer
    x = 3,699.38

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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.