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Finding the Fourth Proportional to 5,786.08, 7,985.76 and 3,429

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Solution

The fourth proportional to 5,786.08, 7,985.76 and 3,429 is: 4,732.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.08 : 7,985.76 = 3,429 : x
  2. Step 2: Convert to fraction form
    5,786.08/7,985.76 = 3,429/x
  3. Step 3: Cross multiply
    5,786.08x = 7,985.76 × 3,429
  4. Step 4: Simplify right side
    5,786.08x = 27,383,171.04
  5. Step 5: Solve for x
    x = 27,383,171.04/5,786.08
  6. Step 6: Final answer
    x = 4,732.59

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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.