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Finding the Fourth Proportional to 3,652.82, 5,040.21 and 2,159.54

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Solution

The fourth proportional to 3,652.82, 5,040.21 and 2,159.54 is: 2,979.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.82 : 5,040.21 = 2,159.54 : x
  2. Step 2: Convert to fraction form
    3,652.82/5,040.21 = 2,159.54/x
  3. Step 3: Cross multiply
    3,652.82x = 5,040.21 × 2,159.54
  4. Step 4: Simplify right side
    3,652.82x = 10,884,535.10
  5. Step 5: Solve for x
    x = 10,884,535.10/3,652.82
  6. Step 6: Final answer
    x = 2,979.76

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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.