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Finding the Fourth Proportional to 4,600.04, 6,896.21 and 2,133.59

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Solution

The fourth proportional to 4,600.04, 6,896.21 and 2,133.59 is: 3,198.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.04 : 6,896.21 = 2,133.59 : x
  2. Step 2: Convert to fraction form
    4,600.04/6,896.21 = 2,133.59/x
  3. Step 3: Cross multiply
    4,600.04x = 6,896.21 × 2,133.59
  4. Step 4: Simplify right side
    4,600.04x = 14,713,639.54
  5. Step 5: Solve for x
    x = 14,713,639.54/4,600.04
  6. Step 6: Final answer
    x = 3,198.59

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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.