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Finding the Fourth Proportional to 4,095.46, 6,143.80 and 1,321.22

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Solution

The fourth proportional to 4,095.46, 6,143.80 and 1,321.22 is: 1,982.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,095.46 : 6,143.80 = 1,321.22 : x
  2. Step 2: Convert to fraction form
    4,095.46/6,143.80 = 1,321.22/x
  3. Step 3: Cross multiply
    4,095.46x = 6,143.80 × 1,321.22
  4. Step 4: Simplify right side
    4,095.46x = 8,117,311.44
  5. Step 5: Solve for x
    x = 8,117,311.44/4,095.46
  6. Step 6: Final answer
    x = 1,982.03

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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.