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Finding the Fourth Proportional to 3,852.85, 5,784.24 and 2,005.24

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Solution

The fourth proportional to 3,852.85, 5,784.24 and 2,005.24 is: 3,010.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.85 : 5,784.24 = 2,005.24 : x
  2. Step 2: Convert to fraction form
    3,852.85/5,784.24 = 2,005.24/x
  3. Step 3: Cross multiply
    3,852.85x = 5,784.24 × 2,005.24
  4. Step 4: Simplify right side
    3,852.85x = 11,598,789.42
  5. Step 5: Solve for x
    x = 11,598,789.42/3,852.85
  6. Step 6: Final answer
    x = 3,010.44

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1.5x scale

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.