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Finding the Fourth Proportional to 3,105.47, 4,667.42 and 2,876.31

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Solution

The fourth proportional to 3,105.47, 4,667.42 and 2,876.31 is: 4,323.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.47 : 4,667.42 = 2,876.31 : x
  2. Step 2: Convert to fraction form
    3,105.47/4,667.42 = 2,876.31/x
  3. Step 3: Cross multiply
    3,105.47x = 4,667.42 × 2,876.31
  4. Step 4: Simplify right side
    3,105.47x = 13,424,954.01
  5. Step 5: Solve for x
    x = 13,424,954.01/3,105.47
  6. Step 6: Final answer
    x = 4,323.00

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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.