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Finding the Fourth Proportional to 5,872.25, 8,106.26 and 3,513.94

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Solution

The fourth proportional to 5,872.25, 8,106.26 and 3,513.94 is: 4,850.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.25 : 8,106.26 = 3,513.94 : x
  2. Step 2: Convert to fraction form
    5,872.25/8,106.26 = 3,513.94/x
  3. Step 3: Cross multiply
    5,872.25x = 8,106.26 × 3,513.94
  4. Step 4: Simplify right side
    5,872.25x = 28,484,873.43
  5. Step 5: Solve for x
    x = 28,484,873.43/5,872.25
  6. Step 6: Final answer
    x = 4,850.76

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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.