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Finding the Fourth Proportional to 5,836.80, 8,038.80 and 5,728.80

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Solution

The fourth proportional to 5,836.80, 8,038.80 and 5,728.80 is: 7,890.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.80 : 8,038.80 = 5,728.80 : x
  2. Step 2: Convert to fraction form
    5,836.80/8,038.80 = 5,728.80/x
  3. Step 3: Cross multiply
    5,836.80x = 8,038.80 × 5,728.80
  4. Step 4: Simplify right side
    5,836.80x = 46,052,677.44
  5. Step 5: Solve for x
    x = 46,052,677.44/5,836.80
  6. Step 6: Final answer
    x = 7,890.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.