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Finding the Fourth Proportional to 3,498.96, 5,243.58 and 1,765.56

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Solution

The fourth proportional to 3,498.96, 5,243.58 and 1,765.56 is: 2,645.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.96 : 5,243.58 = 1,765.56 : x
  2. Step 2: Convert to fraction form
    3,498.96/5,243.58 = 1,765.56/x
  3. Step 3: Cross multiply
    3,498.96x = 5,243.58 × 1,765.56
  4. Step 4: Simplify right side
    3,498.96x = 9,257,855.10
  5. Step 5: Solve for x
    x = 9,257,855.10/3,498.96
  6. Step 6: Final answer
    x = 2,645.89

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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.