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Finding the Fourth Proportional to 3,892.17, 5,840.06 and 2,113.82

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Solution

The fourth proportional to 3,892.17, 5,840.06 and 2,113.82 is: 3,171.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.17 : 5,840.06 = 2,113.82 : x
  2. Step 2: Convert to fraction form
    3,892.17/5,840.06 = 2,113.82/x
  3. Step 3: Cross multiply
    3,892.17x = 5,840.06 × 2,113.82
  4. Step 4: Simplify right side
    3,892.17x = 12,344,795.86
  5. Step 5: Solve for x
    x = 12,344,795.86/3,892.17
  6. Step 6: Final answer
    x = 3,171.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.