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Finding the Fourth Proportional to 5,173.74, 7,754.04 and 2,540.62

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Solution

The fourth proportional to 5,173.74, 7,754.04 and 2,540.62 is: 3,807.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173.74 : 7,754.04 = 2,540.62 : x
  2. Step 2: Convert to fraction form
    5,173.74/7,754.04 = 2,540.62/x
  3. Step 3: Cross multiply
    5,173.74x = 7,754.04 × 2,540.62
  4. Step 4: Simplify right side
    5,173.74x = 19,700,069.10
  5. Step 5: Solve for x
    x = 19,700,069.10/5,173.74
  6. Step 6: Final answer
    x = 3,807.70

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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.