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Finding the Fourth Proportional to 6,187.82, 8,539.25 and 3,499.18

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Solution

The fourth proportional to 6,187.82, 8,539.25 and 3,499.18 is: 4,828.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187.82 : 8,539.25 = 3,499.18 : x
  2. Step 2: Convert to fraction form
    6,187.82/8,539.25 = 3,499.18/x
  3. Step 3: Cross multiply
    6,187.82x = 8,539.25 × 3,499.18
  4. Step 4: Simplify right side
    6,187.82x = 29,880,333.97
  5. Step 5: Solve for x
    x = 29,880,333.97/6,187.82
  6. Step 6: Final answer
    x = 4,828.90

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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.