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Finding the Fourth Proportional to 6,188.20, 8,540.13 and 3,498.50

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Solution

The fourth proportional to 6,188.20, 8,540.13 and 3,498.50 is: 4,828.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.20 : 8,540.13 = 3,498.50 : x
  2. Step 2: Convert to fraction form
    6,188.20/8,540.13 = 3,498.50/x
  3. Step 3: Cross multiply
    6,188.20x = 8,540.13 × 3,498.50
  4. Step 4: Simplify right side
    6,188.20x = 29,877,679.27
  5. Step 5: Solve for x
    x = 29,877,679.27/6,188.20
  6. Step 6: Final answer
    x = 4,828.17

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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.