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Finding the Fourth Proportional to 3,980.97, 5,970.87 and 1,515.80

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Solution

The fourth proportional to 3,980.97, 5,970.87 and 1,515.80 is: 2,273.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.97 : 5,970.87 = 1,515.80 : x
  2. Step 2: Convert to fraction form
    3,980.97/5,970.87 = 1,515.80/x
  3. Step 3: Cross multiply
    3,980.97x = 5,970.87 × 1,515.80
  4. Step 4: Simplify right side
    3,980.97x = 9,050,659.67
  5. Step 5: Solve for x
    x = 9,050,659.67/3,980.97
  6. Step 6: Final answer
    x = 2,273.48

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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.