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Finding the Fourth Proportional to 5,176.62, 7,760.60 and 2,054.68

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Solution

The fourth proportional to 5,176.62, 7,760.60 and 2,054.68 is: 3,080.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.62 : 7,760.60 = 2,054.68 : x
  2. Step 2: Convert to fraction form
    5,176.62/7,760.60 = 2,054.68/x
  3. Step 3: Cross multiply
    5,176.62x = 7,760.60 × 2,054.68
  4. Step 4: Simplify right side
    5,176.62x = 15,945,549.61
  5. Step 5: Solve for x
    x = 15,945,549.61/5,176.62
  6. Step 6: Final answer
    x = 3,080.30

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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.