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Finding the Fourth Proportional to 4,206.06, 6,309.10 and 4,199.98

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Solution

The fourth proportional to 4,206.06, 6,309.10 and 4,199.98 is: 6,299.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.06 : 6,309.10 = 4,199.98 : x
  2. Step 2: Convert to fraction form
    4,206.06/6,309.10 = 4,199.98/x
  3. Step 3: Cross multiply
    4,206.06x = 6,309.10 × 4,199.98
  4. Step 4: Simplify right side
    4,206.06x = 26,498,093.82
  5. Step 5: Solve for x
    x = 26,498,093.82/4,206.06
  6. Step 6: Final answer
    x = 6,299.98

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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.