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Finding the Fourth Proportional to 3,511.62, 4,847.99 and 2,566.47

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Solution

The fourth proportional to 3,511.62, 4,847.99 and 2,566.47 is: 3,543.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.62 : 4,847.99 = 2,566.47 : x
  2. Step 2: Convert to fraction form
    3,511.62/4,847.99 = 2,566.47/x
  3. Step 3: Cross multiply
    3,511.62x = 4,847.99 × 2,566.47
  4. Step 4: Simplify right side
    3,511.62x = 12,442,208.06
  5. Step 5: Solve for x
    x = 12,442,208.06/3,511.62
  6. Step 6: Final answer
    x = 3,543.15

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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.