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Finding the Fourth Proportional to 4,134.01, 6,232.00 and 3,859.06

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Solution

The fourth proportional to 4,134.01, 6,232.00 and 3,859.06 is: 5,817.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134.01 : 6,232.00 = 3,859.06 : x
  2. Step 2: Convert to fraction form
    4,134.01/6,232.00 = 3,859.06/x
  3. Step 3: Cross multiply
    4,134.01x = 6,232.00 × 3,859.06
  4. Step 4: Simplify right side
    4,134.01x = 24,049,644.76
  5. Step 5: Solve for x
    x = 24,049,644.76/4,134.01
  6. Step 6: Final answer
    x = 5,817.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.