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Finding the Fourth Proportional to 6,087.48, 8,399.04 and 3,820.80

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Solution

The fourth proportional to 6,087.48, 8,399.04 and 3,820.80 is: 5,271.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,087.48 : 8,399.04 = 3,820.80 : x
  2. Step 2: Convert to fraction form
    6,087.48/8,399.04 = 3,820.80/x
  3. Step 3: Cross multiply
    6,087.48x = 8,399.04 × 3,820.80
  4. Step 4: Simplify right side
    6,087.48x = 32,091,052.03
  5. Step 5: Solve for x
    x = 32,091,052.03/6,087.48
  6. Step 6: Final answer
    x = 5,271.65

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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.