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Finding the Fourth Proportional to 3,450, 5,165.55 and 2,411.04

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Solution

The fourth proportional to 3,450, 5,165.55 and 2,411.04 is: 3,609.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450 : 5,165.55 = 2,411.04 : x
  2. Step 2: Convert to fraction form
    3,450/5,165.55 = 2,411.04/x
  3. Step 3: Cross multiply
    3,450x = 5,165.55 × 2,411.04
  4. Step 4: Simplify right side
    3,450x = 12,454,347.67
  5. Step 5: Solve for x
    x = 12,454,347.67/3,450
  6. Step 6: Final answer
    x = 3,609.96

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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.