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Finding the Fourth Proportional to 4,814.92, 6,644.74 and 2,798.16

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Solution

The fourth proportional to 4,814.92, 6,644.74 and 2,798.16 is: 3,861.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,814.92 : 6,644.74 = 2,798.16 : x
  2. Step 2: Convert to fraction form
    4,814.92/6,644.74 = 2,798.16/x
  3. Step 3: Cross multiply
    4,814.92x = 6,644.74 × 2,798.16
  4. Step 4: Simplify right side
    4,814.92x = 18,593,045.68
  5. Step 5: Solve for x
    x = 18,593,045.68/4,814.92
  6. Step 6: Final answer
    x = 3,861.55

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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.