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Finding the Fourth Proportional to 3,200.94, 4,793.67 and 2,649.06

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Solution

The fourth proportional to 3,200.94, 4,793.67 and 2,649.06 is: 3,967.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.94 : 4,793.67 = 2,649.06 : x
  2. Step 2: Convert to fraction form
    3,200.94/4,793.67 = 2,649.06/x
  3. Step 3: Cross multiply
    3,200.94x = 4,793.67 × 2,649.06
  4. Step 4: Simplify right side
    3,200.94x = 12,698,719.45
  5. Step 5: Solve for x
    x = 12,698,719.45/3,200.94
  6. Step 6: Final answer
    x = 3,967.18

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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.