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Finding the Fourth Proportional to 3,665.98, 5,061.36 and 2,546.56

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Solution

The fourth proportional to 3,665.98, 5,061.36 and 2,546.56 is: 3,515.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.98 : 5,061.36 = 2,546.56 : x
  2. Step 2: Convert to fraction form
    3,665.98/5,061.36 = 2,546.56/x
  3. Step 3: Cross multiply
    3,665.98x = 5,061.36 × 2,546.56
  4. Step 4: Simplify right side
    3,665.98x = 12,889,056.92
  5. Step 5: Solve for x
    x = 12,889,056.92/3,665.98
  6. Step 6: Final answer
    x = 3,515.86

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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.