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Finding the Fourth Proportional to 4,199.14, 6,295.07 and 3,102.00

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Solution

The fourth proportional to 4,199.14, 6,295.07 and 3,102.00 is: 4,650.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.14 : 6,295.07 = 3,102.00 : x
  2. Step 2: Convert to fraction form
    4,199.14/6,295.07 = 3,102.00/x
  3. Step 3: Cross multiply
    4,199.14x = 6,295.07 × 3,102.00
  4. Step 4: Simplify right side
    4,199.14x = 19,527,273.84
  5. Step 5: Solve for x
    x = 19,527,273.84/4,199.14
  6. Step 6: Final answer
    x = 4,650.30

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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.