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Finding the Fourth Proportional to 3,783.90, 5,661 and 2,487.90

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Solution

The fourth proportional to 3,783.90, 5,661 and 2,487.90 is: 3,722.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.90 : 5,661 = 2,487.90 : x
  2. Step 2: Convert to fraction form
    3,783.90/5,661 = 2,487.90/x
  3. Step 3: Cross multiply
    3,783.90x = 5,661 × 2,487.90
  4. Step 4: Simplify right side
    3,783.90x = 14,084,001.90
  5. Step 5: Solve for x
    x = 14,084,001.90/3,783.90
  6. Step 6: Final answer
    x = 3,722.09

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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.