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Finding the Fourth Proportional to 4,968.36, 7,442.82 and 3,808.44

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Solution

The fourth proportional to 4,968.36, 7,442.82 and 3,808.44 is: 5,705.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.36 : 7,442.82 = 3,808.44 : x
  2. Step 2: Convert to fraction form
    4,968.36/7,442.82 = 3,808.44/x
  3. Step 3: Cross multiply
    4,968.36x = 7,442.82 × 3,808.44
  4. Step 4: Simplify right side
    4,968.36x = 28,345,533.40
  5. Step 5: Solve for x
    x = 28,345,533.40/4,968.36
  6. Step 6: Final answer
    x = 5,705.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.