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Finding the Fourth Proportional to 5,322.06, 7,343.77 and 3,083.92

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Solution

The fourth proportional to 5,322.06, 7,343.77 and 3,083.92 is: 4,255.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.06 : 7,343.77 = 3,083.92 : x
  2. Step 2: Convert to fraction form
    5,322.06/7,343.77 = 3,083.92/x
  3. Step 3: Cross multiply
    5,322.06x = 7,343.77 × 3,083.92
  4. Step 4: Simplify right side
    5,322.06x = 22,647,547.04
  5. Step 5: Solve for x
    x = 22,647,547.04/5,322.06
  6. Step 6: Final answer
    x = 4,255.41

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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.