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Finding the Fourth Proportional to 4,803.80, 6,629.06 and 2,814.30

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Solution

The fourth proportional to 4,803.80, 6,629.06 and 2,814.30 is: 3,883.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,803.80 : 6,629.06 = 2,814.30 : x
  2. Step 2: Convert to fraction form
    4,803.80/6,629.06 = 2,814.30/x
  3. Step 3: Cross multiply
    4,803.80x = 6,629.06 × 2,814.30
  4. Step 4: Simplify right side
    4,803.80x = 18,656,149.49
  5. Step 5: Solve for x
    x = 18,656,149.49/4,803.80
  6. Step 6: Final answer
    x = 3,883.63

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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.