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Finding the Fourth Proportional to 3,461.34, 4,771.19 and 2,264.21

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Solution

The fourth proportional to 3,461.34, 4,771.19 and 2,264.21 is: 3,121.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.34 : 4,771.19 = 2,264.21 : x
  2. Step 2: Convert to fraction form
    3,461.34/4,771.19 = 2,264.21/x
  3. Step 3: Cross multiply
    3,461.34x = 4,771.19 × 2,264.21
  4. Step 4: Simplify right side
    3,461.34x = 10,802,940.93
  5. Step 5: Solve for x
    x = 10,802,940.93/3,461.34
  6. Step 6: Final answer
    x = 3,121.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.