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Finding the Fourth Proportional to 5,682.29, 7,842.02 and 3,293.06

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Solution

The fourth proportional to 5,682.29, 7,842.02 and 3,293.06 is: 4,544.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.29 : 7,842.02 = 3,293.06 : x
  2. Step 2: Convert to fraction form
    5,682.29/7,842.02 = 3,293.06/x
  3. Step 3: Cross multiply
    5,682.29x = 7,842.02 × 3,293.06
  4. Step 4: Simplify right side
    5,682.29x = 25,824,186.71
  5. Step 5: Solve for x
    x = 25,824,186.71/5,682.29
  6. Step 6: Final answer
    x = 4,544.68

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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.