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Finding the Fourth Proportional to 5,125.90, 7,676.70 and 3,157.60

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Solution

The fourth proportional to 5,125.90, 7,676.70 and 3,157.60 is: 4,728.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,125.90 : 7,676.70 = 3,157.60 : x
  2. Step 2: Convert to fraction form
    5,125.90/7,676.70 = 3,157.60/x
  3. Step 3: Cross multiply
    5,125.90x = 7,676.70 × 3,157.60
  4. Step 4: Simplify right side
    5,125.90x = 24,239,947.92
  5. Step 5: Solve for x
    x = 24,239,947.92/5,125.90
  6. Step 6: Final answer
    x = 4,728.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.