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Finding the Fourth Proportional to 4,905.95, 6,770.22 and 2,667.82

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Solution

The fourth proportional to 4,905.95, 6,770.22 and 2,667.82 is: 3,681.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,905.95 : 6,770.22 = 2,667.82 : x
  2. Step 2: Convert to fraction form
    4,905.95/6,770.22 = 2,667.82/x
  3. Step 3: Cross multiply
    4,905.95x = 6,770.22 × 2,667.82
  4. Step 4: Simplify right side
    4,905.95x = 18,061,711.39
  5. Step 5: Solve for x
    x = 18,061,711.39/4,905.95
  6. Step 6: Final answer
    x = 3,681.60

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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.