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Finding the Fourth Proportional to 4,803.14, 6,628.02 and 2,813.24

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Solution

The fourth proportional to 4,803.14, 6,628.02 and 2,813.24 is: 3,882.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,803.14 : 6,628.02 = 2,813.24 : x
  2. Step 2: Convert to fraction form
    4,803.14/6,628.02 = 2,813.24/x
  3. Step 3: Cross multiply
    4,803.14x = 6,628.02 × 2,813.24
  4. Step 4: Simplify right side
    4,803.14x = 18,646,210.98
  5. Step 5: Solve for x
    x = 18,646,210.98/4,803.14
  6. Step 6: Final answer
    x = 3,882.09

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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.