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Finding the Fourth Proportional to 5,634.76, 8,446.46 and 2,349.66

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Solution

The fourth proportional to 5,634.76, 8,446.46 and 2,349.66 is: 3,522.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634.76 : 8,446.46 = 2,349.66 : x
  2. Step 2: Convert to fraction form
    5,634.76/8,446.46 = 2,349.66/x
  3. Step 3: Cross multiply
    5,634.76x = 8,446.46 × 2,349.66
  4. Step 4: Simplify right side
    5,634.76x = 19,846,309.20
  5. Step 5: Solve for x
    x = 19,846,309.20/5,634.76
  6. Step 6: Final answer
    x = 3,522.12

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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.