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Finding the Fourth Proportional to 4,322.33, 6,478.63 and 2,008.97

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Solution

The fourth proportional to 4,322.33, 6,478.63 and 2,008.97 is: 3,011.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.33 : 6,478.63 = 2,008.97 : x
  2. Step 2: Convert to fraction form
    4,322.33/6,478.63 = 2,008.97/x
  3. Step 3: Cross multiply
    4,322.33x = 6,478.63 × 2,008.97
  4. Step 4: Simplify right side
    4,322.33x = 13,015,371.49
  5. Step 5: Solve for x
    x = 13,015,371.49/4,322.33
  6. Step 6: Final answer
    x = 3,011.19

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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.