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Finding the Fourth Proportional to 4,997.09, 7,529.46 and 4,139.00

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Solution

The fourth proportional to 4,997.09, 7,529.46 and 4,139.00 is: 6,236.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997.09 : 7,529.46 = 4,139.00 : x
  2. Step 2: Convert to fraction form
    4,997.09/7,529.46 = 4,139.00/x
  3. Step 3: Cross multiply
    4,997.09x = 7,529.46 × 4,139.00
  4. Step 4: Simplify right side
    4,997.09x = 31,164,410.01
  5. Step 5: Solve for x
    x = 31,164,410.01/4,997.09
  6. Step 6: Final answer
    x = 6,236.51

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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.