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Finding the Fourth Proportional to 5,922.56, 8,165.46 and 4,856.42

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Solution

The fourth proportional to 5,922.56, 8,165.46 and 4,856.42 is: 6,695.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,922.56 : 8,165.46 = 4,856.42 : x
  2. Step 2: Convert to fraction form
    5,922.56/8,165.46 = 4,856.42/x
  3. Step 3: Cross multiply
    5,922.56x = 8,165.46 × 4,856.42
  4. Step 4: Simplify right side
    5,922.56x = 39,654,903.25
  5. Step 5: Solve for x
    x = 39,654,903.25/5,922.56
  6. Step 6: Final answer
    x = 6,695.57

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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.