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Finding the Fourth Proportional to 6,494.84, 8,961.90 and 3,699.96

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Solution

The fourth proportional to 6,494.84, 8,961.90 and 3,699.96 is: 5,105.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.84 : 8,961.90 = 3,699.96 : x
  2. Step 2: Convert to fraction form
    6,494.84/8,961.90 = 3,699.96/x
  3. Step 3: Cross multiply
    6,494.84x = 8,961.90 × 3,699.96
  4. Step 4: Simplify right side
    6,494.84x = 33,158,671.52
  5. Step 5: Solve for x
    x = 33,158,671.52/6,494.84
  6. Step 6: Final answer
    x = 5,105.39

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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.