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Finding the Fourth Proportional to 5,980.14, 8,971.62 and 1,876.14

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Solution

The fourth proportional to 5,980.14, 8,971.62 and 1,876.14 is: 2,814.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.14 : 8,971.62 = 1,876.14 : x
  2. Step 2: Convert to fraction form
    5,980.14/8,971.62 = 1,876.14/x
  3. Step 3: Cross multiply
    5,980.14x = 8,971.62 × 1,876.14
  4. Step 4: Simplify right side
    5,980.14x = 16,832,015.15
  5. Step 5: Solve for x
    x = 16,832,015.15/5,980.14
  6. Step 6: Final answer
    x = 2,814.65

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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.