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Finding the Fourth Proportional to 5,880.89, 8,822.06 and 1,984.25

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Solution

The fourth proportional to 5,880.89, 8,822.06 and 1,984.25 is: 2,976.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,880.89 : 8,822.06 = 1,984.25 : x
  2. Step 2: Convert to fraction form
    5,880.89/8,822.06 = 1,984.25/x
  3. Step 3: Cross multiply
    5,880.89x = 8,822.06 × 1,984.25
  4. Step 4: Simplify right side
    5,880.89x = 17,505,162.63
  5. Step 5: Solve for x
    x = 17,505,162.63/5,880.89
  6. Step 6: Final answer
    x = 2,976.62

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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.