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Finding the Fourth Proportional to 3,769.68, 5,655.24 and 1,172.52

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Solution

The fourth proportional to 3,769.68, 5,655.24 and 1,172.52 is: 1,759.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.68 : 5,655.24 = 1,172.52 : x
  2. Step 2: Convert to fraction form
    3,769.68/5,655.24 = 1,172.52/x
  3. Step 3: Cross multiply
    3,769.68x = 5,655.24 × 1,172.52
  4. Step 4: Simplify right side
    3,769.68x = 6,630,882.00
  5. Step 5: Solve for x
    x = 6,630,882.00/3,769.68
  6. Step 6: Final answer
    x = 1,759.00

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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.