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Finding the Fourth Proportional to 3,530.87, 5,295.22 and 2,442.23

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Solution

The fourth proportional to 3,530.87, 5,295.22 and 2,442.23 is: 3,662.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.87 : 5,295.22 = 2,442.23 : x
  2. Step 2: Convert to fraction form
    3,530.87/5,295.22 = 2,442.23/x
  3. Step 3: Cross multiply
    3,530.87x = 5,295.22 × 2,442.23
  4. Step 4: Simplify right side
    3,530.87x = 12,932,145.14
  5. Step 5: Solve for x
    x = 12,932,145.14/3,530.87
  6. Step 6: Final answer
    x = 3,662.59

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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.