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Finding the Fourth Proportional to 4,977.66, 6,868.09 and 2,880.57

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Solution

The fourth proportional to 4,977.66, 6,868.09 and 2,880.57 is: 3,974.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.66 : 6,868.09 = 2,880.57 : x
  2. Step 2: Convert to fraction form
    4,977.66/6,868.09 = 2,880.57/x
  3. Step 3: Cross multiply
    4,977.66x = 6,868.09 × 2,880.57
  4. Step 4: Simplify right side
    4,977.66x = 19,784,014.01
  5. Step 5: Solve for x
    x = 19,784,014.01/4,977.66
  6. Step 6: Final answer
    x = 3,974.56

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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.