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Finding the Fourth Proportional to 3,690.50, 5,532.50 and 1,383.62

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Solution

The fourth proportional to 3,690.50, 5,532.50 and 1,383.62 is: 2,074.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.50 : 5,532.50 = 1,383.62 : x
  2. Step 2: Convert to fraction form
    3,690.50/5,532.50 = 1,383.62/x
  3. Step 3: Cross multiply
    3,690.50x = 5,532.50 × 1,383.62
  4. Step 4: Simplify right side
    3,690.50x = 7,654,853.45
  5. Step 5: Solve for x
    x = 7,654,853.45/3,690.50
  6. Step 6: Final answer
    x = 2,074.21

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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.