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Finding the Fourth Proportional to 3,674.35, 5,070.84 and 2,081

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Solution

The fourth proportional to 3,674.35, 5,070.84 and 2,081 is: 2,871.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.35 : 5,070.84 = 2,081 : x
  2. Step 2: Convert to fraction form
    3,674.35/5,070.84 = 2,081/x
  3. Step 3: Cross multiply
    3,674.35x = 5,070.84 × 2,081
  4. Step 4: Simplify right side
    3,674.35x = 10,552,418.04
  5. Step 5: Solve for x
    x = 10,552,418.04/3,674.35
  6. Step 6: Final answer
    x = 2,871.91

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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.