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Finding the Fourth Proportional to 3,562.96, 4,916.89 and 1,991.06

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Solution

The fourth proportional to 3,562.96, 4,916.89 and 1,991.06 is: 2,747.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.96 : 4,916.89 = 1,991.06 : x
  2. Step 2: Convert to fraction form
    3,562.96/4,916.89 = 1,991.06/x
  3. Step 3: Cross multiply
    3,562.96x = 4,916.89 × 1,991.06
  4. Step 4: Simplify right side
    3,562.96x = 9,789,804.64
  5. Step 5: Solve for x
    x = 9,789,804.64/3,562.96
  6. Step 6: Final answer
    x = 2,747.66

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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.