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Finding the Fourth Proportional to 4,647.74, 6,410.96 and 2,757.98

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Solution

The fourth proportional to 4,647.74, 6,410.96 and 2,757.98 is: 3,804.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.74 : 6,410.96 = 2,757.98 : x
  2. Step 2: Convert to fraction form
    4,647.74/6,410.96 = 2,757.98/x
  3. Step 3: Cross multiply
    4,647.74x = 6,410.96 × 2,757.98
  4. Step 4: Simplify right side
    4,647.74x = 17,681,299.46
  5. Step 5: Solve for x
    x = 17,681,299.46/4,647.74
  6. Step 6: Final answer
    x = 3,804.28

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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.