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Finding the Fourth Proportional to 6,276.72, 8,661.74 and 3,482.22

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Solution

The fourth proportional to 6,276.72, 8,661.74 and 3,482.22 is: 4,805.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276.72 : 8,661.74 = 3,482.22 : x
  2. Step 2: Convert to fraction form
    6,276.72/8,661.74 = 3,482.22/x
  3. Step 3: Cross multiply
    6,276.72x = 8,661.74 × 3,482.22
  4. Step 4: Simplify right side
    6,276.72x = 30,162,099.33
  5. Step 5: Solve for x
    x = 30,162,099.33/6,276.72
  6. Step 6: Final answer
    x = 4,805.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.