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Finding the Fourth Proportional to 3,562.97, 4,916.45 and 1,991.03

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Solution

The fourth proportional to 3,562.97, 4,916.45 and 1,991.03 is: 2,747.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.97 : 4,916.45 = 1,991.03 : x
  2. Step 2: Convert to fraction form
    3,562.97/4,916.45 = 1,991.03/x
  3. Step 3: Cross multiply
    3,562.97x = 4,916.45 × 1,991.03
  4. Step 4: Simplify right side
    3,562.97x = 9,788,779.84
  5. Step 5: Solve for x
    x = 9,788,779.84/3,562.97
  6. Step 6: Final answer
    x = 2,747.37

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Why These Related Problems?

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