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Finding the Fourth Proportional to 3,723.84, 5,141.28 and 3,324.81

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Solution

The fourth proportional to 3,723.84, 5,141.28 and 3,324.81 is: 4,590.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723.84 : 5,141.28 = 3,324.81 : x
  2. Step 2: Convert to fraction form
    3,723.84/5,141.28 = 3,324.81/x
  3. Step 3: Cross multiply
    3,723.84x = 5,141.28 × 3,324.81
  4. Step 4: Simplify right side
    3,723.84x = 17,093,779.16
  5. Step 5: Solve for x
    x = 17,093,779.16/3,723.84
  6. Step 6: Final answer
    x = 4,590.36

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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.