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Finding the Fourth Proportional to 4,895.96, 6,756.41 and 2,657.82

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Solution

The fourth proportional to 4,895.96, 6,756.41 and 2,657.82 is: 3,667.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,895.96 : 6,756.41 = 2,657.82 : x
  2. Step 2: Convert to fraction form
    4,895.96/6,756.41 = 2,657.82/x
  3. Step 3: Cross multiply
    4,895.96x = 6,756.41 × 2,657.82
  4. Step 4: Simplify right side
    4,895.96x = 17,957,308.34
  5. Step 5: Solve for x
    x = 17,957,308.34/4,895.96
  6. Step 6: Final answer
    x = 3,667.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.