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Finding the Fourth Proportional to 6,208.52, 9,310.35 and 3,865.10

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Solution

The fourth proportional to 6,208.52, 9,310.35 and 3,865.10 is: 5,796.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208.52 : 9,310.35 = 3,865.10 : x
  2. Step 2: Convert to fraction form
    6,208.52/9,310.35 = 3,865.10/x
  3. Step 3: Cross multiply
    6,208.52x = 9,310.35 × 3,865.10
  4. Step 4: Simplify right side
    6,208.52x = 35,985,433.79
  5. Step 5: Solve for x
    x = 35,985,433.79/6,208.52
  6. Step 6: Final answer
    x = 5,796.14

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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.