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Finding the Fourth Proportional to 4,600.89, 6,896.54 and 4,194.92

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Solution

The fourth proportional to 4,600.89, 6,896.54 and 4,194.92 is: 6,288.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.89 : 6,896.54 = 4,194.92 : x
  2. Step 2: Convert to fraction form
    4,600.89/6,896.54 = 4,194.92/x
  3. Step 3: Cross multiply
    4,600.89x = 6,896.54 × 4,194.92
  4. Step 4: Simplify right side
    4,600.89x = 28,930,433.58
  5. Step 5: Solve for x
    x = 28,930,433.58/4,600.89
  6. Step 6: Final answer
    x = 6,288.01

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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.