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Finding the Fourth Proportional to 3,971.49, 5,955.32 and 1,197.65

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Solution

The fourth proportional to 3,971.49, 5,955.32 and 1,197.65 is: 1,795.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.49 : 5,955.32 = 1,197.65 : x
  2. Step 2: Convert to fraction form
    3,971.49/5,955.32 = 1,197.65/x
  3. Step 3: Cross multiply
    3,971.49x = 5,955.32 × 1,197.65
  4. Step 4: Simplify right side
    3,971.49x = 7,132,353.23
  5. Step 5: Solve for x
    x = 7,132,353.23/3,971.49
  6. Step 6: Final answer
    x = 1,795.89

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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.