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Finding the Fourth Proportional to 3,409.41, 4,706.20 and 2,514.21

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Solution

The fourth proportional to 3,409.41, 4,706.20 and 2,514.21 is: 3,470.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.41 : 4,706.20 = 2,514.21 : x
  2. Step 2: Convert to fraction form
    3,409.41/4,706.20 = 2,514.21/x
  3. Step 3: Cross multiply
    3,409.41x = 4,706.20 × 2,514.21
  4. Step 4: Simplify right side
    3,409.41x = 11,832,375.10
  5. Step 5: Solve for x
    x = 11,832,375.10/3,409.41
  6. Step 6: Final answer
    x = 3,470.51

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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.