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Finding the Fourth Proportional to 3,485.36, 5,226.24 and 1,293.68

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Solution

The fourth proportional to 3,485.36, 5,226.24 and 1,293.68 is: 1,939.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.36 : 5,226.24 = 1,293.68 : x
  2. Step 2: Convert to fraction form
    3,485.36/5,226.24 = 1,293.68/x
  3. Step 3: Cross multiply
    3,485.36x = 5,226.24 × 1,293.68
  4. Step 4: Simplify right side
    3,485.36x = 6,761,082.16
  5. Step 5: Solve for x
    x = 6,761,082.16/3,485.36
  6. Step 6: Final answer
    x = 1,939.85

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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.