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Finding the Fourth Proportional to 3,682.51, 5,083.74 and 2,841.32

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Solution

The fourth proportional to 3,682.51, 5,083.74 and 2,841.32 is: 3,922.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.51 : 5,083.74 = 2,841.32 : x
  2. Step 2: Convert to fraction form
    3,682.51/5,083.74 = 2,841.32/x
  3. Step 3: Cross multiply
    3,682.51x = 5,083.74 × 2,841.32
  4. Step 4: Simplify right side
    3,682.51x = 14,444,532.14
  5. Step 5: Solve for x
    x = 14,444,532.14/3,682.51
  6. Step 6: Final answer
    x = 3,922.47

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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.