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Finding the Fourth Proportional to 6,206.70, 8,567.40 and 3,722.70

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Solution

The fourth proportional to 6,206.70, 8,567.40 and 3,722.70 is: 5,138.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.70 : 8,567.40 = 3,722.70 : x
  2. Step 2: Convert to fraction form
    6,206.70/8,567.40 = 3,722.70/x
  3. Step 3: Cross multiply
    6,206.70x = 8,567.40 × 3,722.70
  4. Step 4: Simplify right side
    6,206.70x = 31,893,859.98
  5. Step 5: Solve for x
    x = 31,893,859.98/6,206.70
  6. Step 6: Final answer
    x = 5,138.62

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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.