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Finding the Fourth Proportional to 4,333.94, 5,983.04 and 3,005.33

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Solution

The fourth proportional to 4,333.94, 5,983.04 and 3,005.33 is: 4,148.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,333.94 : 5,983.04 = 3,005.33 : x
  2. Step 2: Convert to fraction form
    4,333.94/5,983.04 = 3,005.33/x
  3. Step 3: Cross multiply
    4,333.94x = 5,983.04 × 3,005.33
  4. Step 4: Simplify right side
    4,333.94x = 17,981,032.07
  5. Step 5: Solve for x
    x = 17,981,032.07/4,333.94
  6. Step 6: Final answer
    x = 4,148.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.