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Finding the Fourth Proportional to 4,976, 6,866.88 and 2,880.26

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Solution

The fourth proportional to 4,976, 6,866.88 and 2,880.26 is: 3,974.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976 : 6,866.88 = 2,880.26 : x
  2. Step 2: Convert to fraction form
    4,976/6,866.88 = 2,880.26/x
  3. Step 3: Cross multiply
    4,976x = 6,866.88 × 2,880.26
  4. Step 4: Simplify right side
    4,976x = 19,778,399.79
  5. Step 5: Solve for x
    x = 19,778,399.79/4,976
  6. Step 6: Final answer
    x = 3,974.76

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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.