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Finding the Fourth Proportional to 4,199.72, 6,289.98 and 2,009.99

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Solution

The fourth proportional to 4,199.72, 6,289.98 and 2,009.99 is: 3,010.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.72 : 6,289.98 = 2,009.99 : x
  2. Step 2: Convert to fraction form
    4,199.72/6,289.98 = 2,009.99/x
  3. Step 3: Cross multiply
    4,199.72x = 6,289.98 × 2,009.99
  4. Step 4: Simplify right side
    4,199.72x = 12,642,765.45
  5. Step 5: Solve for x
    x = 12,642,765.45/4,199.72
  6. Step 6: Final answer
    x = 3,010.39

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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.