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Finding the Fourth Proportional to 3,422.34, 5,106.63 and 3,213.36

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Solution

The fourth proportional to 3,422.34, 5,106.63 and 3,213.36 is: 4,794.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.34 : 5,106.63 = 3,213.36 : x
  2. Step 2: Convert to fraction form
    3,422.34/5,106.63 = 3,213.36/x
  3. Step 3: Cross multiply
    3,422.34x = 5,106.63 × 3,213.36
  4. Step 4: Simplify right side
    3,422.34x = 16,409,440.58
  5. Step 5: Solve for x
    x = 16,409,440.58/3,422.34
  6. Step 6: Final answer
    x = 4,794.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.