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Finding the Fourth Proportional to 3,980.87, 5,971.59 and 1,207.29

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Solution

The fourth proportional to 3,980.87, 5,971.59 and 1,207.29 is: 1,811.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.87 : 5,971.59 = 1,207.29 : x
  2. Step 2: Convert to fraction form
    3,980.87/5,971.59 = 1,207.29/x
  3. Step 3: Cross multiply
    3,980.87x = 5,971.59 × 1,207.29
  4. Step 4: Simplify right side
    3,980.87x = 7,209,440.89
  5. Step 5: Solve for x
    x = 7,209,440.89/3,980.87
  6. Step 6: Final answer
    x = 1,811.02

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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.