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Finding the Fourth Proportional to 5,511.69, 8,267.60 and 1,616.18

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Solution

The fourth proportional to 5,511.69, 8,267.60 and 1,616.18 is: 2,424.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,511.69 : 8,267.60 = 1,616.18 : x
  2. Step 2: Convert to fraction form
    5,511.69/8,267.60 = 1,616.18/x
  3. Step 3: Cross multiply
    5,511.69x = 8,267.60 × 1,616.18
  4. Step 4: Simplify right side
    5,511.69x = 13,361,892.47
  5. Step 5: Solve for x
    x = 13,361,892.47/5,511.69
  6. Step 6: Final answer
    x = 2,424.28

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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.