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Finding the Fourth Proportional to 5,891.89, 8,830.54 and 2,968.60

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Solution

The fourth proportional to 5,891.89, 8,830.54 and 2,968.60 is: 4,449.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.89 : 8,830.54 = 2,968.60 : x
  2. Step 2: Convert to fraction form
    5,891.89/8,830.54 = 2,968.60/x
  3. Step 3: Cross multiply
    5,891.89x = 8,830.54 × 2,968.60
  4. Step 4: Simplify right side
    5,891.89x = 26,214,341.04
  5. Step 5: Solve for x
    x = 26,214,341.04/5,891.89
  6. Step 6: Final answer
    x = 4,449.22

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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.