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Finding the Fourth Proportional to 4,977.72, 6,868.98 and 2,881.80

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Solution

The fourth proportional to 4,977.72, 6,868.98 and 2,881.80 is: 3,976.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.72 : 6,868.98 = 2,881.80 : x
  2. Step 2: Convert to fraction form
    4,977.72/6,868.98 = 2,881.80/x
  3. Step 3: Cross multiply
    4,977.72x = 6,868.98 × 2,881.80
  4. Step 4: Simplify right side
    4,977.72x = 19,795,026.56
  5. Step 5: Solve for x
    x = 19,795,026.56/4,977.72
  6. Step 6: Final answer
    x = 3,976.73

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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.