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Finding the Fourth Proportional to 5,969.80, 8,976.30 and 5,019.40

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Solution

The fourth proportional to 5,969.80, 8,976.30 and 5,019.40 is: 7,547.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.80 : 8,976.30 = 5,019.40 : x
  2. Step 2: Convert to fraction form
    5,969.80/8,976.30 = 5,019.40/x
  3. Step 3: Cross multiply
    5,969.80x = 8,976.30 × 5,019.40
  4. Step 4: Simplify right side
    5,969.80x = 45,055,640.22
  5. Step 5: Solve for x
    x = 45,055,640.22/5,969.80
  6. Step 6: Final answer
    x = 7,547.26

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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.