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Finding the Fourth Proportional to 5,874.09, 8,106.14 and 3,185.24

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Solution

The fourth proportional to 5,874.09, 8,106.14 and 3,185.24 is: 4,395.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.09 : 8,106.14 = 3,185.24 : x
  2. Step 2: Convert to fraction form
    5,874.09/8,106.14 = 3,185.24/x
  3. Step 3: Cross multiply
    5,874.09x = 8,106.14 × 3,185.24
  4. Step 4: Simplify right side
    5,874.09x = 25,819,944.92
  5. Step 5: Solve for x
    x = 25,819,944.92/5,874.09
  6. Step 6: Final answer
    x = 4,395.57

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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.