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Finding the Fourth Proportional to 4,471.90, 6,707.74 and 2,133.56

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Solution

The fourth proportional to 4,471.90, 6,707.74 and 2,133.56 is: 3,200.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.90 : 6,707.74 = 2,133.56 : x
  2. Step 2: Convert to fraction form
    4,471.90/6,707.74 = 2,133.56/x
  3. Step 3: Cross multiply
    4,471.90x = 6,707.74 × 2,133.56
  4. Step 4: Simplify right side
    4,471.90x = 14,311,365.75
  5. Step 5: Solve for x
    x = 14,311,365.75/4,471.90
  6. Step 6: Final answer
    x = 3,200.29

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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.