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Finding the Fourth Proportional to 3,423.14, 5,132.09 and 2,836.34

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Solution

The fourth proportional to 3,423.14, 5,132.09 and 2,836.34 is: 4,252.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.14 : 5,132.09 = 2,836.34 : x
  2. Step 2: Convert to fraction form
    3,423.14/5,132.09 = 2,836.34/x
  3. Step 3: Cross multiply
    3,423.14x = 5,132.09 × 2,836.34
  4. Step 4: Simplify right side
    3,423.14x = 14,556,333.58
  5. Step 5: Solve for x
    x = 14,556,333.58/3,423.14
  6. Step 6: Final answer
    x = 4,252.34

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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.