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Finding the Fourth Proportional to 3,980.80, 5,971.24 and 1,207.45

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Solution

The fourth proportional to 3,980.80, 5,971.24 and 1,207.45 is: 1,811.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.80 : 5,971.24 = 1,207.45 : x
  2. Step 2: Convert to fraction form
    3,980.80/5,971.24 = 1,207.45/x
  3. Step 3: Cross multiply
    3,980.80x = 5,971.24 × 1,207.45
  4. Step 4: Simplify right side
    3,980.80x = 7,209,943.88
  5. Step 5: Solve for x
    x = 7,209,943.88/3,980.80
  6. Step 6: Final answer
    x = 1,811.18

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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.