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Finding the Fourth Proportional to 4,471.67, 6,707.51 and 1,351.68

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Solution

The fourth proportional to 4,471.67, 6,707.51 and 1,351.68 is: 2,027.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.67 : 6,707.51 = 1,351.68 : x
  2. Step 2: Convert to fraction form
    4,471.67/6,707.51 = 1,351.68/x
  3. Step 3: Cross multiply
    4,471.67x = 6,707.51 × 1,351.68
  4. Step 4: Simplify right side
    4,471.67x = 9,066,400.36
  5. Step 5: Solve for x
    x = 9,066,400.36/4,471.67
  6. Step 6: Final answer
    x = 2,027.52

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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.