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Finding the Fourth Proportional to 3,140.97, 4,707.09 and 1,383.33

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Solution

The fourth proportional to 3,140.97, 4,707.09 and 1,383.33 is: 2,073.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.97 : 4,707.09 = 1,383.33 : x
  2. Step 2: Convert to fraction form
    3,140.97/4,707.09 = 1,383.33/x
  3. Step 3: Cross multiply
    3,140.97x = 4,707.09 × 1,383.33
  4. Step 4: Simplify right side
    3,140.97x = 6,511,476.46
  5. Step 5: Solve for x
    x = 6,511,476.46/3,140.97
  6. Step 6: Final answer
    x = 2,073.08

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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.