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Finding the Fourth Proportional to 4,763.69, 6,573.94 and 2,774.43

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Solution

The fourth proportional to 4,763.69, 6,573.94 and 2,774.43 is: 3,828.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.69 : 6,573.94 = 2,774.43 : x
  2. Step 2: Convert to fraction form
    4,763.69/6,573.94 = 2,774.43/x
  3. Step 3: Cross multiply
    4,763.69x = 6,573.94 × 2,774.43
  4. Step 4: Simplify right side
    4,763.69x = 18,238,936.35
  5. Step 5: Solve for x
    x = 18,238,936.35/4,763.69
  6. Step 6: Final answer
    x = 3,828.74

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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.