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Finding the Fourth Proportional to 5,119.75, 7,680.89 and 1,657

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Solution

The fourth proportional to 5,119.75, 7,680.89 and 1,657 is: 2,485.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,119.75 : 7,680.89 = 1,657 : x
  2. Step 2: Convert to fraction form
    5,119.75/7,680.89 = 1,657/x
  3. Step 3: Cross multiply
    5,119.75x = 7,680.89 × 1,657
  4. Step 4: Simplify right side
    5,119.75x = 12,727,226.45
  5. Step 5: Solve for x
    x = 12,727,226.45/5,119.75
  6. Step 6: Final answer
    x = 2,485.91

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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.