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Finding the Fourth Proportional to 4,201, 6,308.70 and 3,982.12

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Solution

The fourth proportional to 4,201, 6,308.70 and 3,982.12 is: 5,980.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201 : 6,308.70 = 3,982.12 : x
  2. Step 2: Convert to fraction form
    4,201/6,308.70 = 3,982.12/x
  3. Step 3: Cross multiply
    4,201x = 6,308.70 × 3,982.12
  4. Step 4: Simplify right side
    4,201x = 25,122,000.44
  5. Step 5: Solve for x
    x = 25,122,000.44/4,201
  6. Step 6: Final answer
    x = 5,980.00

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