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Finding the Fourth Proportional to 4,471.20, 6,701.13 and 2,005.92

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Solution

The fourth proportional to 4,471.20, 6,701.13 and 2,005.92 is: 3,006.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.20 : 6,701.13 = 2,005.92 : x
  2. Step 2: Convert to fraction form
    4,471.20/6,701.13 = 2,005.92/x
  3. Step 3: Cross multiply
    4,471.20x = 6,701.13 × 2,005.92
  4. Step 4: Simplify right side
    4,471.20x = 13,441,930.69
  5. Step 5: Solve for x
    x = 13,441,930.69/4,471.20
  6. Step 6: Final answer
    x = 3,006.34

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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.