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Finding the Fourth Proportional to 5,676.19, 7,833.17 and 3,192.19

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Solution

The fourth proportional to 5,676.19, 7,833.17 and 3,192.19 is: 4,405.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.19 : 7,833.17 = 3,192.19 : x
  2. Step 2: Convert to fraction form
    5,676.19/7,833.17 = 3,192.19/x
  3. Step 3: Cross multiply
    5,676.19x = 7,833.17 × 3,192.19
  4. Step 4: Simplify right side
    5,676.19x = 25,004,955.34
  5. Step 5: Solve for x
    x = 25,004,955.34/5,676.19
  6. Step 6: Final answer
    x = 4,405.24

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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.