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Finding the Fourth Proportional to 3,980.92, 5,971.32 and 1,670.80

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Solution

The fourth proportional to 3,980.92, 5,971.32 and 1,670.80 is: 2,506.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.92 : 5,971.32 = 1,670.80 : x
  2. Step 2: Convert to fraction form
    3,980.92/5,971.32 = 1,670.80/x
  3. Step 3: Cross multiply
    3,980.92x = 5,971.32 × 1,670.80
  4. Step 4: Simplify right side
    3,980.92x = 9,976,881.46
  5. Step 5: Solve for x
    x = 9,976,881.46/3,980.92
  6. Step 6: Final answer
    x = 2,506.17

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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.