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Finding the Fourth Proportional to 3,731.60, 5,597.52 and 1,266.56

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Solution

The fourth proportional to 3,731.60, 5,597.52 and 1,266.56 is: 1,899.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.60 : 5,597.52 = 1,266.56 : x
  2. Step 2: Convert to fraction form
    3,731.60/5,597.52 = 1,266.56/x
  3. Step 3: Cross multiply
    3,731.60x = 5,597.52 × 1,266.56
  4. Step 4: Simplify right side
    3,731.60x = 7,089,594.93
  5. Step 5: Solve for x
    x = 7,089,594.93/3,731.60
  6. Step 6: Final answer
    x = 1,899.88

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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.