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Finding the Fourth Proportional to 4,168, 6,252.84 and 1,859.50

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Solution

The fourth proportional to 4,168, 6,252.84 and 1,859.50 is: 2,789.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,168 : 6,252.84 = 1,859.50 : x
  2. Step 2: Convert to fraction form
    4,168/6,252.84 = 1,859.50/x
  3. Step 3: Cross multiply
    4,168x = 6,252.84 × 1,859.50
  4. Step 4: Simplify right side
    4,168x = 11,627,155.98
  5. Step 5: Solve for x
    x = 11,627,155.98/4,168
  6. Step 6: Final answer
    x = 2,789.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.