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Finding the Fourth Proportional to 5,693.34, 7,856.50 and 3,175.66

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Solution

The fourth proportional to 5,693.34, 7,856.50 and 3,175.66 is: 4,382.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.34 : 7,856.50 = 3,175.66 : x
  2. Step 2: Convert to fraction form
    5,693.34/7,856.50 = 3,175.66/x
  3. Step 3: Cross multiply
    5,693.34x = 7,856.50 × 3,175.66
  4. Step 4: Simplify right side
    5,693.34x = 24,949,517.63
  5. Step 5: Solve for x
    x = 24,949,517.63/5,693.34
  6. Step 6: Final answer
    x = 4,382.23

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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.