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Finding the Fourth Proportional to 4,471.00, 6,707.87 and 2,133.98

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Solution

The fourth proportional to 4,471.00, 6,707.87 and 2,133.98 is: 3,201.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.00 : 6,707.87 = 2,133.98 : x
  2. Step 2: Convert to fraction form
    4,471.00/6,707.87 = 2,133.98/x
  3. Step 3: Cross multiply
    4,471.00x = 6,707.87 × 2,133.98
  4. Step 4: Simplify right side
    4,471.00x = 14,314,449.75
  5. Step 5: Solve for x
    x = 14,314,449.75/4,471.00
  6. Step 6: Final answer
    x = 3,201.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.