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Finding the Fourth Proportional to 4,888.36, 6,745.98 and 2,764

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Solution

The fourth proportional to 4,888.36, 6,745.98 and 2,764 is: 3,814.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,888.36 : 6,745.98 = 2,764 : x
  2. Step 2: Convert to fraction form
    4,888.36/6,745.98 = 2,764/x
  3. Step 3: Cross multiply
    4,888.36x = 6,745.98 × 2,764
  4. Step 4: Simplify right side
    4,888.36x = 18,645,888.72
  5. Step 5: Solve for x
    x = 18,645,888.72/4,888.36
  6. Step 6: Final answer
    x = 3,814.34

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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.