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Finding the Fourth Proportional to 4,535.69, 6,800.91 and 1,414.82

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Solution

The fourth proportional to 4,535.69, 6,800.91 and 1,414.82 is: 2,121.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535.69 : 6,800.91 = 1,414.82 : x
  2. Step 2: Convert to fraction form
    4,535.69/6,800.91 = 1,414.82/x
  3. Step 3: Cross multiply
    4,535.69x = 6,800.91 × 1,414.82
  4. Step 4: Simplify right side
    4,535.69x = 9,622,029.48
  5. Step 5: Solve for x
    x = 9,622,029.48/4,535.69
  6. Step 6: Final answer
    x = 2,121.41

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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.