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Finding the Fourth Proportional to 5,820.92, 8,731.22 and 1,438.28

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Solution

The fourth proportional to 5,820.92, 8,731.22 and 1,438.28 is: 2,157.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820.92 : 8,731.22 = 1,438.28 : x
  2. Step 2: Convert to fraction form
    5,820.92/8,731.22 = 1,438.28/x
  3. Step 3: Cross multiply
    5,820.92x = 8,731.22 × 1,438.28
  4. Step 4: Simplify right side
    5,820.92x = 12,557,939.10
  5. Step 5: Solve for x
    x = 12,557,939.10/5,820.92
  6. Step 6: Final answer
    x = 2,157.38

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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.