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Finding the Fourth Proportional to 4,230.40, 6,369.75 and 3,971.20

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Solution

The fourth proportional to 4,230.40, 6,369.75 and 3,971.20 is: 5,979.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.40 : 6,369.75 = 3,971.20 : x
  2. Step 2: Convert to fraction form
    4,230.40/6,369.75 = 3,971.20/x
  3. Step 3: Cross multiply
    4,230.40x = 6,369.75 × 3,971.20
  4. Step 4: Simplify right side
    4,230.40x = 25,295,551.20
  5. Step 5: Solve for x
    x = 25,295,551.20/4,230.40
  6. Step 6: Final answer
    x = 5,979.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.