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Finding the Fourth Proportional to 5,676.87, 7,833.54 and 3,158.75

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Solution

The fourth proportional to 5,676.87, 7,833.54 and 3,158.75 is: 4,358.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.87 : 7,833.54 = 3,158.75 : x
  2. Step 2: Convert to fraction form
    5,676.87/7,833.54 = 3,158.75/x
  3. Step 3: Cross multiply
    5,676.87x = 7,833.54 × 3,158.75
  4. Step 4: Simplify right side
    5,676.87x = 24,744,194.48
  5. Step 5: Solve for x
    x = 24,744,194.48/5,676.87
  6. Step 6: Final answer
    x = 4,358.77

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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.