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Finding the Fourth Proportional to 5,808.81, 8,022.73 and 3,828.16

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Solution

The fourth proportional to 5,808.81, 8,022.73 and 3,828.16 is: 5,287.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,808.81 : 8,022.73 = 3,828.16 : x
  2. Step 2: Convert to fraction form
    5,808.81/8,022.73 = 3,828.16/x
  3. Step 3: Cross multiply
    5,808.81x = 8,022.73 × 3,828.16
  4. Step 4: Simplify right side
    5,808.81x = 30,712,253.96
  5. Step 5: Solve for x
    x = 30,712,253.96/5,808.81
  6. Step 6: Final answer
    x = 5,287.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.