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Finding the Fourth Proportional to 6,087.53, 8,402.85 and 3,698.84

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Solution

The fourth proportional to 6,087.53, 8,402.85 and 3,698.84 is: 5,105.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,087.53 : 8,402.85 = 3,698.84 : x
  2. Step 2: Convert to fraction form
    6,087.53/8,402.85 = 3,698.84/x
  3. Step 3: Cross multiply
    6,087.53x = 8,402.85 × 3,698.84
  4. Step 4: Simplify right side
    6,087.53x = 31,080,755.68
  5. Step 5: Solve for x
    x = 31,080,755.68/6,087.53
  6. Step 6: Final answer
    x = 5,105.65

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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.