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Finding the Fourth Proportional to 3,801.48, 5,700.12 and 1,612.80

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Solution

The fourth proportional to 3,801.48, 5,700.12 and 1,612.80 is: 2,418.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.48 : 5,700.12 = 1,612.80 : x
  2. Step 2: Convert to fraction form
    3,801.48/5,700.12 = 1,612.80/x
  3. Step 3: Cross multiply
    3,801.48x = 5,700.12 × 1,612.80
  4. Step 4: Simplify right side
    3,801.48x = 9,193,153.54
  5. Step 5: Solve for x
    x = 9,193,153.54/3,801.48
  6. Step 6: Final answer
    x = 2,418.31

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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.