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Finding the Fourth Proportional to 6,290.26, 8,680.70 and 3,457.71

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Solution

The fourth proportional to 6,290.26, 8,680.70 and 3,457.71 is: 4,771.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290.26 : 8,680.70 = 3,457.71 : x
  2. Step 2: Convert to fraction form
    6,290.26/8,680.70 = 3,457.71/x
  3. Step 3: Cross multiply
    6,290.26x = 8,680.70 × 3,457.71
  4. Step 4: Simplify right side
    6,290.26x = 30,015,351.84
  5. Step 5: Solve for x
    x = 30,015,351.84/6,290.26
  6. Step 6: Final answer
    x = 4,771.72

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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.