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Finding the Fourth Proportional to 3,980.57, 5,971.68 and 1,207.53

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Solution

The fourth proportional to 3,980.57, 5,971.68 and 1,207.53 is: 1,811.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.57 : 5,971.68 = 1,207.53 : x
  2. Step 2: Convert to fraction form
    3,980.57/5,971.68 = 1,207.53/x
  3. Step 3: Cross multiply
    3,980.57x = 5,971.68 × 1,207.53
  4. Step 4: Simplify right side
    3,980.57x = 7,210,982.75
  5. Step 5: Solve for x
    x = 7,210,982.75/3,980.57
  6. Step 6: Final answer
    x = 1,811.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.