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Finding the Fourth Proportional to 4,197.01, 6,295.52 and 1,999.07

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Solution

The fourth proportional to 4,197.01, 6,295.52 and 1,999.07 is: 2,998.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.01 : 6,295.52 = 1,999.07 : x
  2. Step 2: Convert to fraction form
    4,197.01/6,295.52 = 1,999.07/x
  3. Step 3: Cross multiply
    4,197.01x = 6,295.52 × 1,999.07
  4. Step 4: Simplify right side
    4,197.01x = 12,585,206.46
  5. Step 5: Solve for x
    x = 12,585,206.46/4,197.01
  6. Step 6: Final answer
    x = 2,998.61

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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.