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Finding the Fourth Proportional to 5,693.57, 7,857.13 and 3,175.61

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Solution

The fourth proportional to 5,693.57, 7,857.13 and 3,175.61 is: 4,382.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.57 : 7,857.13 = 3,175.61 : x
  2. Step 2: Convert to fraction form
    5,693.57/7,857.13 = 3,175.61/x
  3. Step 3: Cross multiply
    5,693.57x = 7,857.13 × 3,175.61
  4. Step 4: Simplify right side
    5,693.57x = 24,951,208.18
  5. Step 5: Solve for x
    x = 24,951,208.18/5,693.57
  6. Step 6: Final answer
    x = 4,382.35

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1.5x scale

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.