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Finding the Fourth Proportional to 5,908.34, 8,865.75 and 2,213.12

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Solution

The fourth proportional to 5,908.34, 8,865.75 and 2,213.12 is: 3,320.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,908.34 : 8,865.75 = 2,213.12 : x
  2. Step 2: Convert to fraction form
    5,908.34/8,865.75 = 2,213.12/x
  3. Step 3: Cross multiply
    5,908.34x = 8,865.75 × 2,213.12
  4. Step 4: Simplify right side
    5,908.34x = 19,620,968.64
  5. Step 5: Solve for x
    x = 19,620,968.64/5,908.34
  6. Step 6: Final answer
    x = 3,320.89

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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.