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Finding the Fourth Proportional to 4,977.37, 6,868.92 and 2,739.30

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Solution

The fourth proportional to 4,977.37, 6,868.92 and 2,739.30 is: 3,780.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.37 : 6,868.92 = 2,739.30 : x
  2. Step 2: Convert to fraction form
    4,977.37/6,868.92 = 2,739.30/x
  3. Step 3: Cross multiply
    4,977.37x = 6,868.92 × 2,739.30
  4. Step 4: Simplify right side
    4,977.37x = 18,816,032.56
  5. Step 5: Solve for x
    x = 18,816,032.56/4,977.37
  6. Step 6: Final answer
    x = 3,780.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.