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Finding the Fourth Proportional to 3,844.90, 5,753.70 and 3,017.50

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Solution

The fourth proportional to 3,844.90, 5,753.70 and 3,017.50 is: 4,515.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.90 : 5,753.70 = 3,017.50 : x
  2. Step 2: Convert to fraction form
    3,844.90/5,753.70 = 3,017.50/x
  3. Step 3: Cross multiply
    3,844.90x = 5,753.70 × 3,017.50
  4. Step 4: Simplify right side
    3,844.90x = 17,361,789.75
  5. Step 5: Solve for x
    x = 17,361,789.75/3,844.90
  6. Step 6: Final answer
    x = 4,515.54

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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.