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Finding the Fourth Proportional to 4,977.68, 6,868.78 and 2,881.94

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Solution

The fourth proportional to 4,977.68, 6,868.78 and 2,881.94 is: 3,976.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.68 : 6,868.78 = 2,881.94 : x
  2. Step 2: Convert to fraction form
    4,977.68/6,868.78 = 2,881.94/x
  3. Step 3: Cross multiply
    4,977.68x = 6,868.78 × 2,881.94
  4. Step 4: Simplify right side
    4,977.68x = 19,795,411.83
  5. Step 5: Solve for x
    x = 19,795,411.83/4,977.68
  6. Step 6: Final answer
    x = 3,976.83

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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.