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Finding the Fourth Proportional to 3,846.56, 5,761.56 and 2,607.17

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Solution

The fourth proportional to 3,846.56, 5,761.56 and 2,607.17 is: 3,905.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.56 : 5,761.56 = 2,607.17 : x
  2. Step 2: Convert to fraction form
    3,846.56/5,761.56 = 2,607.17/x
  3. Step 3: Cross multiply
    3,846.56x = 5,761.56 × 2,607.17
  4. Step 4: Simplify right side
    3,846.56x = 15,021,366.39
  5. Step 5: Solve for x
    x = 15,021,366.39/3,846.56
  6. Step 6: Final answer
    x = 3,905.14

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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.