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Finding the Fourth Proportional to 5,969.80, 8,237.80 and 3,317.04

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Solution

The fourth proportional to 5,969.80, 8,237.80 and 3,317.04 is: 4,577.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.80 : 8,237.80 = 3,317.04 : x
  2. Step 2: Convert to fraction form
    5,969.80/8,237.80 = 3,317.04/x
  3. Step 3: Cross multiply
    5,969.80x = 8,237.80 × 3,317.04
  4. Step 4: Simplify right side
    5,969.80x = 27,325,112.11
  5. Step 5: Solve for x
    x = 27,325,112.11/5,969.80
  6. Step 6: Final answer
    x = 4,577.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.