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Finding the Fourth Proportional to 5,691.66, 7,856.37 and 3,333.75

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Solution

The fourth proportional to 5,691.66, 7,856.37 and 3,333.75 is: 4,601.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.66 : 7,856.37 = 3,333.75 : x
  2. Step 2: Convert to fraction form
    5,691.66/7,856.37 = 3,333.75/x
  3. Step 3: Cross multiply
    5,691.66x = 7,856.37 × 3,333.75
  4. Step 4: Simplify right side
    5,691.66x = 26,191,173.49
  5. Step 5: Solve for x
    x = 26,191,173.49/5,691.66
  6. Step 6: Final answer
    x = 4,601.68

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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.