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Finding the Fourth Proportional to 4,135, 5,706.32 and 2,272

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Solution

The fourth proportional to 4,135, 5,706.32 and 2,272 is: 3,135.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,135 : 5,706.32 = 2,272 : x
  2. Step 2: Convert to fraction form
    4,135/5,706.32 = 2,272/x
  3. Step 3: Cross multiply
    4,135x = 5,706.32 × 2,272
  4. Step 4: Simplify right side
    4,135x = 12,964,759.04
  5. Step 5: Solve for x
    x = 12,964,759.04/4,135
  6. Step 6: Final answer
    x = 3,135.37

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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.