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Finding the Fourth Proportional to 4,471.92, 6,703.44 and 2,007.36

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Solution

The fourth proportional to 4,471.92, 6,703.44 and 2,007.36 is: 3,009.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.92 : 6,703.44 = 2,007.36 : x
  2. Step 2: Convert to fraction form
    4,471.92/6,703.44 = 2,007.36/x
  3. Step 3: Cross multiply
    4,471.92x = 6,703.44 × 2,007.36
  4. Step 4: Simplify right side
    4,471.92x = 13,456,217.32
  5. Step 5: Solve for x
    x = 13,456,217.32/4,471.92
  6. Step 6: Final answer
    x = 3,009.05

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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.