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Finding the Fourth Proportional to 3,657.94, 5,047.92 and 2,086

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Solution

The fourth proportional to 3,657.94, 5,047.92 and 2,086 is: 2,878.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.94 : 5,047.92 = 2,086 : x
  2. Step 2: Convert to fraction form
    3,657.94/5,047.92 = 2,086/x
  3. Step 3: Cross multiply
    3,657.94x = 5,047.92 × 2,086
  4. Step 4: Simplify right side
    3,657.94x = 10,529,961.12
  5. Step 5: Solve for x
    x = 10,529,961.12/3,657.94
  6. Step 6: Final answer
    x = 2,878.66

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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.