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Finding the Fourth Proportional to 4,275, 5,894.16 and 3,567.86

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Solution

The fourth proportional to 4,275, 5,894.16 and 3,567.86 is: 4,919.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275 : 5,894.16 = 3,567.86 : x
  2. Step 2: Convert to fraction form
    4,275/5,894.16 = 3,567.86/x
  3. Step 3: Cross multiply
    4,275x = 5,894.16 × 3,567.86
  4. Step 4: Simplify right side
    4,275x = 21,029,537.70
  5. Step 5: Solve for x
    x = 21,029,537.70/4,275
  6. Step 6: Final answer
    x = 4,919.19

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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.