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Finding the Fourth Proportional to 3,226.64, 4,839.36 and 1,745.16

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Solution

The fourth proportional to 3,226.64, 4,839.36 and 1,745.16 is: 2,617.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226.64 : 4,839.36 = 1,745.16 : x
  2. Step 2: Convert to fraction form
    3,226.64/4,839.36 = 1,745.16/x
  3. Step 3: Cross multiply
    3,226.64x = 4,839.36 × 1,745.16
  4. Step 4: Simplify right side
    3,226.64x = 8,445,457.50
  5. Step 5: Solve for x
    x = 8,445,457.50/3,226.64
  6. Step 6: Final answer
    x = 2,617.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.