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Finding the Fourth Proportional to 3,175.77, 4,381.10 and 2,057.09

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Solution

The fourth proportional to 3,175.77, 4,381.10 and 2,057.09 is: 2,837.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.77 : 4,381.10 = 2,057.09 : x
  2. Step 2: Convert to fraction form
    3,175.77/4,381.10 = 2,057.09/x
  3. Step 3: Cross multiply
    3,175.77x = 4,381.10 × 2,057.09
  4. Step 4: Simplify right side
    3,175.77x = 9,012,284.81
  5. Step 5: Solve for x
    x = 9,012,284.81/3,175.77
  6. Step 6: Final answer
    x = 2,837.83

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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.