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Finding the Fourth Proportional to 5,829.96, 8,044.68 and 3,471.65

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Solution

The fourth proportional to 5,829.96, 8,044.68 and 3,471.65 is: 4,790.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.96 : 8,044.68 = 3,471.65 : x
  2. Step 2: Convert to fraction form
    5,829.96/8,044.68 = 3,471.65/x
  3. Step 3: Cross multiply
    5,829.96x = 8,044.68 × 3,471.65
  4. Step 4: Simplify right side
    5,829.96x = 27,928,313.32
  5. Step 5: Solve for x
    x = 27,928,313.32/5,829.96
  6. Step 6: Final answer
    x = 4,790.48

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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.