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Finding the Fourth Proportional to 5,488.70, 8,233.25 and 2,566.22

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Solution

The fourth proportional to 5,488.70, 8,233.25 and 2,566.22 is: 3,849.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.70 : 8,233.25 = 2,566.22 : x
  2. Step 2: Convert to fraction form
    5,488.70/8,233.25 = 2,566.22/x
  3. Step 3: Cross multiply
    5,488.70x = 8,233.25 × 2,566.22
  4. Step 4: Simplify right side
    5,488.70x = 21,128,276.82
  5. Step 5: Solve for x
    x = 21,128,276.82/5,488.70
  6. Step 6: Final answer
    x = 3,849.42

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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.