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Finding the Fourth Proportional to 4,770.36, 6,583.07 and 2,674.49

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Solution

The fourth proportional to 4,770.36, 6,583.07 and 2,674.49 is: 3,690.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.36 : 6,583.07 = 2,674.49 : x
  2. Step 2: Convert to fraction form
    4,770.36/6,583.07 = 2,674.49/x
  3. Step 3: Cross multiply
    4,770.36x = 6,583.07 × 2,674.49
  4. Step 4: Simplify right side
    4,770.36x = 17,606,328.66
  5. Step 5: Solve for x
    x = 17,606,328.66/4,770.36
  6. Step 6: Final answer
    x = 3,690.78

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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.