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Finding the Fourth Proportional to 5,828.70, 8,043.56 and 3,176.22

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Solution

The fourth proportional to 5,828.70, 8,043.56 and 3,176.22 is: 4,383.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.70 : 8,043.56 = 3,176.22 : x
  2. Step 2: Convert to fraction form
    5,828.70/8,043.56 = 3,176.22/x
  3. Step 3: Cross multiply
    5,828.70x = 8,043.56 × 3,176.22
  4. Step 4: Simplify right side
    5,828.70x = 25,548,116.14
  5. Step 5: Solve for x
    x = 25,548,116.14/5,828.70
  6. Step 6: Final answer
    x = 4,383.16

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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.