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Finding the Fourth Proportional to 5,676.40, 7,833.48 and 3,158.80

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Solution

The fourth proportional to 5,676.40, 7,833.48 and 3,158.80 is: 4,359.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.40 : 7,833.48 = 3,158.80 : x
  2. Step 2: Convert to fraction form
    5,676.40/7,833.48 = 3,158.80/x
  3. Step 3: Cross multiply
    5,676.40x = 7,833.48 × 3,158.80
  4. Step 4: Simplify right side
    5,676.40x = 24,744,396.62
  5. Step 5: Solve for x
    x = 24,744,396.62/5,676.40
  6. Step 6: Final answer
    x = 4,359.17

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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.