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Finding the Fourth Proportional to 4,314.36, 6,456.42 and 3,216

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Solution

The fourth proportional to 4,314.36, 6,456.42 and 3,216 is: 4,812.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.36 : 6,456.42 = 3,216 : x
  2. Step 2: Convert to fraction form
    4,314.36/6,456.42 = 3,216/x
  3. Step 3: Cross multiply
    4,314.36x = 6,456.42 × 3,216
  4. Step 4: Simplify right side
    4,314.36x = 20,763,846.72
  5. Step 5: Solve for x
    x = 20,763,846.72/4,314.36
  6. Step 6: Final answer
    x = 4,812.73

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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.