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Finding the Fourth Proportional to 5,695.26, 7,856.52 and 4,634.22

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Solution

The fourth proportional to 5,695.26, 7,856.52 and 4,634.22 is: 6,392.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.26 : 7,856.52 = 4,634.22 : x
  2. Step 2: Convert to fraction form
    5,695.26/7,856.52 = 4,634.22/x
  3. Step 3: Cross multiply
    5,695.26x = 7,856.52 × 4,634.22
  4. Step 4: Simplify right side
    5,695.26x = 36,408,842.11
  5. Step 5: Solve for x
    x = 36,408,842.11/5,695.26
  6. Step 6: Final answer
    x = 6,392.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.