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Finding the Fourth Proportional to 5,257.94, 7,876.17 and 3,277.08

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Solution

The fourth proportional to 5,257.94, 7,876.17 and 3,277.08 is: 4,908.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.94 : 7,876.17 = 3,277.08 : x
  2. Step 2: Convert to fraction form
    5,257.94/7,876.17 = 3,277.08/x
  3. Step 3: Cross multiply
    5,257.94x = 7,876.17 × 3,277.08
  4. Step 4: Simplify right side
    5,257.94x = 25,810,839.18
  5. Step 5: Solve for x
    x = 25,810,839.18/5,257.94
  6. Step 6: Final answer
    x = 4,908.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.