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Finding the Fourth Proportional to 5,443.16, 8,165.26 and 1,932.82

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Solution

The fourth proportional to 5,443.16, 8,165.26 and 1,932.82 is: 2,899.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,443.16 : 8,165.26 = 1,932.82 : x
  2. Step 2: Convert to fraction form
    5,443.16/8,165.26 = 1,932.82/x
  3. Step 3: Cross multiply
    5,443.16x = 8,165.26 × 1,932.82
  4. Step 4: Simplify right side
    5,443.16x = 15,781,977.83
  5. Step 5: Solve for x
    x = 15,781,977.83/5,443.16
  6. Step 6: Final answer
    x = 2,899.41

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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.