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Finding the Fourth Proportional to 3,970.12, 5,955.19 and 1,197.59

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Solution

The fourth proportional to 3,970.12, 5,955.19 and 1,197.59 is: 1,796.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.12 : 5,955.19 = 1,197.59 : x
  2. Step 2: Convert to fraction form
    3,970.12/5,955.19 = 1,197.59/x
  3. Step 3: Cross multiply
    3,970.12x = 5,955.19 × 1,197.59
  4. Step 4: Simplify right side
    3,970.12x = 7,131,856.63
  5. Step 5: Solve for x
    x = 7,131,856.63/3,970.12
  6. Step 6: Final answer
    x = 1,796.38

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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.