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Finding the Fourth Proportional to 5,867.70, 8,097.33 and 3,349.95

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Solution

The fourth proportional to 5,867.70, 8,097.33 and 3,349.95 is: 4,622.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.70 : 8,097.33 = 3,349.95 : x
  2. Step 2: Convert to fraction form
    5,867.70/8,097.33 = 3,349.95/x
  3. Step 3: Cross multiply
    5,867.70x = 8,097.33 × 3,349.95
  4. Step 4: Simplify right side
    5,867.70x = 27,125,650.63
  5. Step 5: Solve for x
    x = 27,125,650.63/5,867.70
  6. Step 6: Final answer
    x = 4,622.88

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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.