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Finding the Fourth Proportional to 4,143.65, 5,718.10 and 3,029.29

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Solution

The fourth proportional to 4,143.65, 5,718.10 and 3,029.29 is: 4,180.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143.65 : 5,718.10 = 3,029.29 : x
  2. Step 2: Convert to fraction form
    4,143.65/5,718.10 = 3,029.29/x
  3. Step 3: Cross multiply
    4,143.65x = 5,718.10 × 3,029.29
  4. Step 4: Simplify right side
    4,143.65x = 17,321,739.41
  5. Step 5: Solve for x
    x = 17,321,739.41/4,143.65
  6. Step 6: Final answer
    x = 4,180.31

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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.