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Finding the Fourth Proportional to 3,750.96, 5,626.50 and 3,522.65

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Solution

The fourth proportional to 3,750.96, 5,626.50 and 3,522.65 is: 5,284.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.96 : 5,626.50 = 3,522.65 : x
  2. Step 2: Convert to fraction form
    3,750.96/5,626.50 = 3,522.65/x
  3. Step 3: Cross multiply
    3,750.96x = 5,626.50 × 3,522.65
  4. Step 4: Simplify right side
    3,750.96x = 19,820,148.88
  5. Step 5: Solve for x
    x = 19,820,148.88/3,750.96
  6. Step 6: Final answer
    x = 5,284.02

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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.