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Finding the Fourth Proportional to 4,328.51, 5,969.92 and 3,133.65

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Solution

The fourth proportional to 4,328.51, 5,969.92 and 3,133.65 is: 4,321.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,328.51 : 5,969.92 = 3,133.65 : x
  2. Step 2: Convert to fraction form
    4,328.51/5,969.92 = 3,133.65/x
  3. Step 3: Cross multiply
    4,328.51x = 5,969.92 × 3,133.65
  4. Step 4: Simplify right side
    4,328.51x = 18,707,660.24
  5. Step 5: Solve for x
    x = 18,707,660.24/4,328.51
  6. Step 6: Final answer
    x = 4,321.97

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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.