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Finding the Fourth Proportional to 4,896.85, 7,346.49 and 2,296.75

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Solution

The fourth proportional to 4,896.85, 7,346.49 and 2,296.75 is: 3,445.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.85 : 7,346.49 = 2,296.75 : x
  2. Step 2: Convert to fraction form
    4,896.85/7,346.49 = 2,296.75/x
  3. Step 3: Cross multiply
    4,896.85x = 7,346.49 × 2,296.75
  4. Step 4: Simplify right side
    4,896.85x = 16,873,050.91
  5. Step 5: Solve for x
    x = 16,873,050.91/4,896.85
  6. Step 6: Final answer
    x = 3,445.69

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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.