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Finding the Fourth Proportional to 4,096.27, 5,653.09 and 3,859.35

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Solution

The fourth proportional to 4,096.27, 5,653.09 and 3,859.35 is: 5,326.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.27 : 5,653.09 = 3,859.35 : x
  2. Step 2: Convert to fraction form
    4,096.27/5,653.09 = 3,859.35/x
  3. Step 3: Cross multiply
    4,096.27x = 5,653.09 × 3,859.35
  4. Step 4: Simplify right side
    4,096.27x = 21,817,252.89
  5. Step 5: Solve for x
    x = 21,817,252.89/4,096.27
  6. Step 6: Final answer
    x = 5,326.13

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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.