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Finding the Fourth Proportional to 5,063.26, 6,983.82 and 4,645

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Solution

The fourth proportional to 5,063.26, 6,983.82 and 4,645 is: 6,406.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,063.26 : 6,983.82 = 4,645 : x
  2. Step 2: Convert to fraction form
    5,063.26/6,983.82 = 4,645/x
  3. Step 3: Cross multiply
    5,063.26x = 6,983.82 × 4,645
  4. Step 4: Simplify right side
    5,063.26x = 32,439,843.90
  5. Step 5: Solve for x
    x = 32,439,843.90/5,063.26
  6. Step 6: Final answer
    x = 6,406.91

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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.