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Finding the Fourth Proportional to 3,444.89, 5,166.41 and 1,496.63

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Solution

The fourth proportional to 3,444.89, 5,166.41 and 1,496.63 is: 2,244.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.89 : 5,166.41 = 1,496.63 : x
  2. Step 2: Convert to fraction form
    3,444.89/5,166.41 = 1,496.63/x
  3. Step 3: Cross multiply
    3,444.89x = 5,166.41 × 1,496.63
  4. Step 4: Simplify right side
    3,444.89x = 7,732,170.88
  5. Step 5: Solve for x
    x = 7,732,170.88/3,444.89
  6. Step 6: Final answer
    x = 2,244.54

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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.