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Finding the Fourth Proportional to 5,945.96, 8,203.54 and 3,461.48

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Solution

The fourth proportional to 5,945.96, 8,203.54 and 3,461.48 is: 4,775.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.96 : 8,203.54 = 3,461.48 : x
  2. Step 2: Convert to fraction form
    5,945.96/8,203.54 = 3,461.48/x
  3. Step 3: Cross multiply
    5,945.96x = 8,203.54 × 3,461.48
  4. Step 4: Simplify right side
    5,945.96x = 28,396,389.64
  5. Step 5: Solve for x
    x = 28,396,389.64/5,945.96
  6. Step 6: Final answer
    x = 4,775.75

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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.