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Finding the Fourth Proportional to 3,731.90, 5,597.24 and 1,266.66

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Solution

The fourth proportional to 3,731.90, 5,597.24 and 1,266.66 is: 1,899.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.90 : 5,597.24 = 1,266.66 : x
  2. Step 2: Convert to fraction form
    3,731.90/5,597.24 = 1,266.66/x
  3. Step 3: Cross multiply
    3,731.90x = 5,597.24 × 1,266.66
  4. Step 4: Simplify right side
    3,731.90x = 7,089,793.69
  5. Step 5: Solve for x
    x = 7,089,793.69/3,731.90
  6. Step 6: Final answer
    x = 1,899.78

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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.