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Finding the Fourth Proportional to 3,810.70, 5,714.54 and 1,469.40

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Solution

The fourth proportional to 3,810.70, 5,714.54 and 1,469.40 is: 2,203.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.70 : 5,714.54 = 1,469.40 : x
  2. Step 2: Convert to fraction form
    3,810.70/5,714.54 = 1,469.40/x
  3. Step 3: Cross multiply
    3,810.70x = 5,714.54 × 1,469.40
  4. Step 4: Simplify right side
    3,810.70x = 8,396,945.08
  5. Step 5: Solve for x
    x = 8,396,945.08/3,810.70
  6. Step 6: Final answer
    x = 2,203.52

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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.