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Finding the Fourth Proportional to 5,969.82, 8,954.63 and 2,074.13

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Solution

The fourth proportional to 5,969.82, 8,954.63 and 2,074.13 is: 3,111.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.82 : 8,954.63 = 2,074.13 : x
  2. Step 2: Convert to fraction form
    5,969.82/8,954.63 = 2,074.13/x
  3. Step 3: Cross multiply
    5,969.82x = 8,954.63 × 2,074.13
  4. Step 4: Simplify right side
    5,969.82x = 18,573,019.36
  5. Step 5: Solve for x
    x = 18,573,019.36/5,969.82
  6. Step 6: Final answer
    x = 3,111.15

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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.