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Finding the Fourth Proportional to 4,094.70, 5,647.52 and 2,768.16

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Solution

The fourth proportional to 4,094.70, 5,647.52 and 2,768.16 is: 3,817.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094.70 : 5,647.52 = 2,768.16 : x
  2. Step 2: Convert to fraction form
    4,094.70/5,647.52 = 2,768.16/x
  3. Step 3: Cross multiply
    4,094.70x = 5,647.52 × 2,768.16
  4. Step 4: Simplify right side
    4,094.70x = 15,633,238.96
  5. Step 5: Solve for x
    x = 15,633,238.96/4,094.70
  6. Step 6: Final answer
    x = 3,817.92

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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.