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Finding the Fourth Proportional to 3,172.59, 4,757.58 and 1,197.89

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Solution

The fourth proportional to 3,172.59, 4,757.58 and 1,197.89 is: 1,796.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.59 : 4,757.58 = 1,197.89 : x
  2. Step 2: Convert to fraction form
    3,172.59/4,757.58 = 1,197.89/x
  3. Step 3: Cross multiply
    3,172.59x = 4,757.58 × 1,197.89
  4. Step 4: Simplify right side
    3,172.59x = 5,699,053.24
  5. Step 5: Solve for x
    x = 5,699,053.24/3,172.59
  6. Step 6: Final answer
    x = 1,796.34

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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.