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Finding the Fourth Proportional to 5,054.75, 6,975.34 and 2,816.72

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Solution

The fourth proportional to 5,054.75, 6,975.34 and 2,816.72 is: 3,886.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,054.75 : 6,975.34 = 2,816.72 : x
  2. Step 2: Convert to fraction form
    5,054.75/6,975.34 = 2,816.72/x
  3. Step 3: Cross multiply
    5,054.75x = 6,975.34 × 2,816.72
  4. Step 4: Simplify right side
    5,054.75x = 19,647,579.68
  5. Step 5: Solve for x
    x = 19,647,579.68/5,054.75
  6. Step 6: Final answer
    x = 3,886.95

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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.