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Finding the Fourth Proportional to 3,158.54, 4,359.09 and 1,832.15

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Solution

The fourth proportional to 3,158.54, 4,359.09 and 1,832.15 is: 2,528.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.54 : 4,359.09 = 1,832.15 : x
  2. Step 2: Convert to fraction form
    3,158.54/4,359.09 = 1,832.15/x
  3. Step 3: Cross multiply
    3,158.54x = 4,359.09 × 1,832.15
  4. Step 4: Simplify right side
    3,158.54x = 7,986,506.74
  5. Step 5: Solve for x
    x = 7,986,506.74/3,158.54
  6. Step 6: Final answer
    x = 2,528.54

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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.