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Finding the Fourth Proportional to 6,208.74, 8,568.84 and 3,851.24

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Solution

The fourth proportional to 6,208.74, 8,568.84 and 3,851.24 is: 5,315.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208.74 : 8,568.84 = 3,851.24 : x
  2. Step 2: Convert to fraction form
    6,208.74/8,568.84 = 3,851.24/x
  3. Step 3: Cross multiply
    6,208.74x = 8,568.84 × 3,851.24
  4. Step 4: Simplify right side
    6,208.74x = 33,000,616.52
  5. Step 5: Solve for x
    x = 33,000,616.52/6,208.74
  6. Step 6: Final answer
    x = 5,315.19

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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.