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Finding the Fourth Proportional to 5,680.69, 8,511.90 and 3,208.17

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Solution

The fourth proportional to 5,680.69, 8,511.90 and 3,208.17 is: 4,807.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680.69 : 8,511.90 = 3,208.17 : x
  2. Step 2: Convert to fraction form
    5,680.69/8,511.90 = 3,208.17/x
  3. Step 3: Cross multiply
    5,680.69x = 8,511.90 × 3,208.17
  4. Step 4: Simplify right side
    5,680.69x = 27,307,622.22
  5. Step 5: Solve for x
    x = 27,307,622.22/5,680.69
  6. Step 6: Final answer
    x = 4,807.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.