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Finding the Fourth Proportional to 4,977.50, 6,868.50 and 2,739.47

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Solution

The fourth proportional to 4,977.50, 6,868.50 and 2,739.47 is: 3,780.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.50 : 6,868.50 = 2,739.47 : x
  2. Step 2: Convert to fraction form
    4,977.50/6,868.50 = 2,739.47/x
  3. Step 3: Cross multiply
    4,977.50x = 6,868.50 × 2,739.47
  4. Step 4: Simplify right side
    4,977.50x = 18,816,049.70
  5. Step 5: Solve for x
    x = 18,816,049.70/4,977.50
  6. Step 6: Final answer
    x = 3,780.22

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