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Finding the Fourth Proportional to 3,501.68, 5,249.48 and 1,745.60

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Solution

The fourth proportional to 3,501.68, 5,249.48 and 1,745.60 is: 2,616.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501.68 : 5,249.48 = 1,745.60 : x
  2. Step 2: Convert to fraction form
    3,501.68/5,249.48 = 1,745.60/x
  3. Step 3: Cross multiply
    3,501.68x = 5,249.48 × 1,745.60
  4. Step 4: Simplify right side
    3,501.68x = 9,163,457.31
  5. Step 5: Solve for x
    x = 9,163,457.31/3,501.68
  6. Step 6: Final answer
    x = 2,616.88

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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.