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Finding the Fourth Proportional to 4,735.74, 6,532.44 and 3,054.44

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Solution

The fourth proportional to 4,735.74, 6,532.44 and 3,054.44 is: 4,213.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.74 : 6,532.44 = 3,054.44 : x
  2. Step 2: Convert to fraction form
    4,735.74/6,532.44 = 3,054.44/x
  3. Step 3: Cross multiply
    4,735.74x = 6,532.44 × 3,054.44
  4. Step 4: Simplify right side
    4,735.74x = 19,952,946.03
  5. Step 5: Solve for x
    x = 19,952,946.03/4,735.74
  6. Step 6: Final answer
    x = 4,213.27

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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.