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Finding the Fourth Proportional to 4,944.31, 7,406.64 and 2,600.78

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Solution

The fourth proportional to 4,944.31, 7,406.64 and 2,600.78 is: 3,896.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.31 : 7,406.64 = 2,600.78 : x
  2. Step 2: Convert to fraction form
    4,944.31/7,406.64 = 2,600.78/x
  3. Step 3: Cross multiply
    4,944.31x = 7,406.64 × 2,600.78
  4. Step 4: Simplify right side
    4,944.31x = 19,263,004.15
  5. Step 5: Solve for x
    x = 19,263,004.15/4,944.31
  6. Step 6: Final answer
    x = 3,896.00

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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.