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Finding the Fourth Proportional to 4,188.96, 6,252.54 and 3,842.64

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Solution

The fourth proportional to 4,188.96, 6,252.54 and 3,842.64 is: 5,735.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.96 : 6,252.54 = 3,842.64 : x
  2. Step 2: Convert to fraction form
    4,188.96/6,252.54 = 3,842.64/x
  3. Step 3: Cross multiply
    4,188.96x = 6,252.54 × 3,842.64
  4. Step 4: Simplify right side
    4,188.96x = 24,026,260.31
  5. Step 5: Solve for x
    x = 24,026,260.31/4,188.96
  6. Step 6: Final answer
    x = 5,735.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.