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Finding the Fourth Proportional to 4,770.67, 6,583.26 and 2,646.13

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Solution

The fourth proportional to 4,770.67, 6,583.26 and 2,646.13 is: 3,651.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.67 : 6,583.26 = 2,646.13 : x
  2. Step 2: Convert to fraction form
    4,770.67/6,583.26 = 2,646.13/x
  3. Step 3: Cross multiply
    4,770.67x = 6,583.26 × 2,646.13
  4. Step 4: Simplify right side
    4,770.67x = 17,420,161.78
  5. Step 5: Solve for x
    x = 17,420,161.78/4,770.67
  6. Step 6: Final answer
    x = 3,651.51

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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.