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Finding the Fourth Proportional to 5,382.13, 8,073.19 and 1,433.39

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Solution

The fourth proportional to 5,382.13, 8,073.19 and 1,433.39 is: 2,150.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.13 : 8,073.19 = 1,433.39 : x
  2. Step 2: Convert to fraction form
    5,382.13/8,073.19 = 1,433.39/x
  3. Step 3: Cross multiply
    5,382.13x = 8,073.19 × 1,433.39
  4. Step 4: Simplify right side
    5,382.13x = 11,572,022.65
  5. Step 5: Solve for x
    x = 11,572,022.65/5,382.13
  6. Step 6: Final answer
    x = 2,150.08

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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.