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Finding the Fourth Proportional to 5,738.30, 8,050.90 and 5,738.30

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Solution

The fourth proportional to 5,738.30, 8,050.90 and 5,738.30 is: 8,050.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.30 : 8,050.90 = 5,738.30 : x
  2. Step 2: Convert to fraction form
    5,738.30/8,050.90 = 5,738.30/x
  3. Step 3: Cross multiply
    5,738.30x = 8,050.90 × 5,738.30
  4. Step 4: Simplify right side
    5,738.30x = 46,198,479.47
  5. Step 5: Solve for x
    x = 46,198,479.47/5,738.30
  6. Step 6: Final answer
    x = 8,050.90

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.