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Finding the Fourth Proportional to 5,693.67, 7,856.55 and 3,175.92

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Solution

The fourth proportional to 5,693.67, 7,856.55 and 3,175.92 is: 4,382.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.67 : 7,856.55 = 3,175.92 : x
  2. Step 2: Convert to fraction form
    5,693.67/7,856.55 = 3,175.92/x
  3. Step 3: Cross multiply
    5,693.67x = 7,856.55 × 3,175.92
  4. Step 4: Simplify right side
    5,693.67x = 24,951,774.28
  5. Step 5: Solve for x
    x = 24,951,774.28/5,693.67
  6. Step 6: Final answer
    x = 4,382.37

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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.