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Finding the Fourth Proportional to 5,429.41, 8,144.42 and 2,097.67

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Solution

The fourth proportional to 5,429.41, 8,144.42 and 2,097.67 is: 3,146.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,429.41 : 8,144.42 = 2,097.67 : x
  2. Step 2: Convert to fraction form
    5,429.41/8,144.42 = 2,097.67/x
  3. Step 3: Cross multiply
    5,429.41x = 8,144.42 × 2,097.67
  4. Step 4: Simplify right side
    5,429.41x = 17,084,305.50
  5. Step 5: Solve for x
    x = 17,084,305.50/5,429.41
  6. Step 6: Final answer
    x = 3,146.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.