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Finding the Fourth Proportional to 5,470.34, 8,206.30 and 1,771.34

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Solution

The fourth proportional to 5,470.34, 8,206.30 and 1,771.34 is: 2,657.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.34 : 8,206.30 = 1,771.34 : x
  2. Step 2: Convert to fraction form
    5,470.34/8,206.30 = 1,771.34/x
  3. Step 3: Cross multiply
    5,470.34x = 8,206.30 × 1,771.34
  4. Step 4: Simplify right side
    5,470.34x = 14,536,147.44
  5. Step 5: Solve for x
    x = 14,536,147.44/5,470.34
  6. Step 6: Final answer
    x = 2,657.27

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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.