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Finding the Fourth Proportional to 6,211.49, 8,570.81 and 4,115.21

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Solution

The fourth proportional to 6,211.49, 8,570.81 and 4,115.21 is: 5,678.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.49 : 8,570.81 = 4,115.21 : x
  2. Step 2: Convert to fraction form
    6,211.49/8,570.81 = 4,115.21/x
  3. Step 3: Cross multiply
    6,211.49x = 8,570.81 × 4,115.21
  4. Step 4: Simplify right side
    6,211.49x = 35,270,650.45
  5. Step 5: Solve for x
    x = 35,270,650.45/6,211.49
  6. Step 6: Final answer
    x = 5,678.30

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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.