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Finding the Fourth Proportional to 3,536.58, 5,305.74 and 2,498.62

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Solution

The fourth proportional to 3,536.58, 5,305.74 and 2,498.62 is: 3,748.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.58 : 5,305.74 = 2,498.62 : x
  2. Step 2: Convert to fraction form
    3,536.58/5,305.74 = 2,498.62/x
  3. Step 3: Cross multiply
    3,536.58x = 5,305.74 × 2,498.62
  4. Step 4: Simplify right side
    3,536.58x = 13,257,028.08
  5. Step 5: Solve for x
    x = 13,257,028.08/3,536.58
  6. Step 6: Final answer
    x = 3,748.54

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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.