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Finding the Fourth Proportional to 4,156.65, 5,736.96 and 2,389.41

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Solution

The fourth proportional to 4,156.65, 5,736.96 and 2,389.41 is: 3,297.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.65 : 5,736.96 = 2,389.41 : x
  2. Step 2: Convert to fraction form
    4,156.65/5,736.96 = 2,389.41/x
  3. Step 3: Cross multiply
    4,156.65x = 5,736.96 × 2,389.41
  4. Step 4: Simplify right side
    4,156.65x = 13,707,949.59
  5. Step 5: Solve for x
    x = 13,707,949.59/4,156.65
  6. Step 6: Final answer
    x = 3,297.84

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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.