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Finding the Fourth Proportional to 6,188.34, 8,538.44 and 3,499.62

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Solution

The fourth proportional to 6,188.34, 8,538.44 and 3,499.62 is: 4,828.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.34 : 8,538.44 = 3,499.62 : x
  2. Step 2: Convert to fraction form
    6,188.34/8,538.44 = 3,499.62/x
  3. Step 3: Cross multiply
    6,188.34x = 8,538.44 × 3,499.62
  4. Step 4: Simplify right side
    6,188.34x = 29,881,295.39
  5. Step 5: Solve for x
    x = 29,881,295.39/6,188.34
  6. Step 6: Final answer
    x = 4,828.64

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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.