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Finding the Fourth Proportional to 3,293.82, 4,944.57 and 2,600.95

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Solution

The fourth proportional to 3,293.82, 4,944.57 and 2,600.95 is: 3,904.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.82 : 4,944.57 = 2,600.95 : x
  2. Step 2: Convert to fraction form
    3,293.82/4,944.57 = 2,600.95/x
  3. Step 3: Cross multiply
    3,293.82x = 4,944.57 × 2,600.95
  4. Step 4: Simplify right side
    3,293.82x = 12,860,579.34
  5. Step 5: Solve for x
    x = 12,860,579.34/3,293.82
  6. Step 6: Final answer
    x = 3,904.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.