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Finding the Fourth Proportional to 3,743.31, 5,615.06 and 969.96

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Solution

The fourth proportional to 3,743.31, 5,615.06 and 969.96 is: 1,454.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743.31 : 5,615.06 = 969.96 : x
  2. Step 2: Convert to fraction form
    3,743.31/5,615.06 = 969.96/x
  3. Step 3: Cross multiply
    3,743.31x = 5,615.06 × 969.96
  4. Step 4: Simplify right side
    3,743.31x = 5,446,386.02
  5. Step 5: Solve for x
    x = 5,446,386.02/3,743.31
  6. Step 6: Final answer
    x = 1,454.97

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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.