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Finding the Fourth Proportional to 4,839.98, 7,255.07 and 3,280.14

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Solution

The fourth proportional to 4,839.98, 7,255.07 and 3,280.14 is: 4,916.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,839.98 : 7,255.07 = 3,280.14 : x
  2. Step 2: Convert to fraction form
    4,839.98/7,255.07 = 3,280.14/x
  3. Step 3: Cross multiply
    4,839.98x = 7,255.07 × 3,280.14
  4. Step 4: Simplify right side
    4,839.98x = 23,797,645.31
  5. Step 5: Solve for x
    x = 23,797,645.31/4,839.98
  6. Step 6: Final answer
    x = 4,916.89

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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.