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Finding the Fourth Proportional to 5,676.57, 7,830.90 and 4,889.25

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Solution

The fourth proportional to 5,676.57, 7,830.90 and 4,889.25 is: 6,744.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.57 : 7,830.90 = 4,889.25 : x
  2. Step 2: Convert to fraction form
    5,676.57/7,830.90 = 4,889.25/x
  3. Step 3: Cross multiply
    5,676.57x = 7,830.90 × 4,889.25
  4. Step 4: Simplify right side
    5,676.57x = 38,287,227.83
  5. Step 5: Solve for x
    x = 38,287,227.83/5,676.57
  6. Step 6: Final answer
    x = 6,744.78

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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.