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Finding the Fourth Proportional to 4,286.87, 5,920.10 and 2,963.99

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Solution

The fourth proportional to 4,286.87, 5,920.10 and 2,963.99 is: 4,093.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.87 : 5,920.10 = 2,963.99 : x
  2. Step 2: Convert to fraction form
    4,286.87/5,920.10 = 2,963.99/x
  3. Step 3: Cross multiply
    4,286.87x = 5,920.10 × 2,963.99
  4. Step 4: Simplify right side
    4,286.87x = 17,547,102.38
  5. Step 5: Solve for x
    x = 17,547,102.38/4,286.87
  6. Step 6: Final answer
    x = 4,093.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.