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Finding the Fourth Proportional to 4,363.25, 6,543.56 and 1,442.33

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Solution

The fourth proportional to 4,363.25, 6,543.56 and 1,442.33 is: 2,163.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,363.25 : 6,543.56 = 1,442.33 : x
  2. Step 2: Convert to fraction form
    4,363.25/6,543.56 = 1,442.33/x
  3. Step 3: Cross multiply
    4,363.25x = 6,543.56 × 1,442.33
  4. Step 4: Simplify right side
    4,363.25x = 9,437,965.68
  5. Step 5: Solve for x
    x = 9,437,965.68/4,363.25
  6. Step 6: Final answer
    x = 2,163.06

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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.