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Finding the Fourth Proportional to 5,984.25, 8,976.74 and 1,880.25

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Solution

The fourth proportional to 5,984.25, 8,976.74 and 1,880.25 is: 2,820.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.25 : 8,976.74 = 1,880.25 : x
  2. Step 2: Convert to fraction form
    5,984.25/8,976.74 = 1,880.25/x
  3. Step 3: Cross multiply
    5,984.25x = 8,976.74 × 1,880.25
  4. Step 4: Simplify right side
    5,984.25x = 16,878,515.39
  5. Step 5: Solve for x
    x = 16,878,515.39/5,984.25
  6. Step 6: Final answer
    x = 2,820.49

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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.