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Finding the Fourth Proportional to 5,446.91, 7,523.78 and 4,506.50

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Solution

The fourth proportional to 5,446.91, 7,523.78 and 4,506.50 is: 6,224.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.91 : 7,523.78 = 4,506.50 : x
  2. Step 2: Convert to fraction form
    5,446.91/7,523.78 = 4,506.50/x
  3. Step 3: Cross multiply
    5,446.91x = 7,523.78 × 4,506.50
  4. Step 4: Simplify right side
    5,446.91x = 33,905,910.85
  5. Step 5: Solve for x
    x = 33,905,910.85/5,446.91
  6. Step 6: Final answer
    x = 6,224.79

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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.