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Finding the Fourth Proportional to 3,893.46, 5,370.57 and 2,774.76

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Solution

The fourth proportional to 3,893.46, 5,370.57 and 2,774.76 is: 3,827.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.46 : 5,370.57 = 2,774.76 : x
  2. Step 2: Convert to fraction form
    3,893.46/5,370.57 = 2,774.76/x
  3. Step 3: Cross multiply
    3,893.46x = 5,370.57 × 2,774.76
  4. Step 4: Simplify right side
    3,893.46x = 14,902,022.67
  5. Step 5: Solve for x
    x = 14,902,022.67/3,893.46
  6. Step 6: Final answer
    x = 3,827.45

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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.