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Finding the Fourth Proportional to 3,797.51, 5,696.26 and 2,498.67

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Solution

The fourth proportional to 3,797.51, 5,696.26 and 2,498.67 is: 3,748.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.51 : 5,696.26 = 2,498.67 : x
  2. Step 2: Convert to fraction form
    3,797.51/5,696.26 = 2,498.67/x
  3. Step 3: Cross multiply
    3,797.51x = 5,696.26 × 2,498.67
  4. Step 4: Simplify right side
    3,797.51x = 14,233,067.73
  5. Step 5: Solve for x
    x = 14,233,067.73/3,797.51
  6. Step 6: Final answer
    x = 3,748.01

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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.