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Finding the Fourth Proportional to 5,844.89, 8,768.54 and 2,147.16

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Solution

The fourth proportional to 5,844.89, 8,768.54 and 2,147.16 is: 3,221.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,844.89 : 8,768.54 = 2,147.16 : x
  2. Step 2: Convert to fraction form
    5,844.89/8,768.54 = 2,147.16/x
  3. Step 3: Cross multiply
    5,844.89x = 8,768.54 × 2,147.16
  4. Step 4: Simplify right side
    5,844.89x = 18,827,435.20
  5. Step 5: Solve for x
    x = 18,827,435.20/5,844.89
  6. Step 6: Final answer
    x = 3,221.18

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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.