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Finding the Fourth Proportional to 4,633.50, 6,394.28 and 2,770.50

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Solution

The fourth proportional to 4,633.50, 6,394.28 and 2,770.50 is: 3,823.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.50 : 6,394.28 = 2,770.50 : x
  2. Step 2: Convert to fraction form
    4,633.50/6,394.28 = 2,770.50/x
  3. Step 3: Cross multiply
    4,633.50x = 6,394.28 × 2,770.50
  4. Step 4: Simplify right side
    4,633.50x = 17,715,338.89
  5. Step 5: Solve for x
    x = 17,715,338.89/4,633.50
  6. Step 6: Final answer
    x = 3,823.32

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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.