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Finding the Fourth Proportional to 5,721.94, 7,896.59 and 3,204.16

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Solution

The fourth proportional to 5,721.94, 7,896.59 and 3,204.16 is: 4,421.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,721.94 : 7,896.59 = 3,204.16 : x
  2. Step 2: Convert to fraction form
    5,721.94/7,896.59 = 3,204.16/x
  3. Step 3: Cross multiply
    5,721.94x = 7,896.59 × 3,204.16
  4. Step 4: Simplify right side
    5,721.94x = 25,301,914.07
  5. Step 5: Solve for x
    x = 25,301,914.07/5,721.94
  6. Step 6: Final answer
    x = 4,421.91

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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.