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Finding the Fourth Proportional to 3,843.32, 5,765.09 and 1,503.23

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Solution

The fourth proportional to 3,843.32, 5,765.09 and 1,503.23 is: 2,254.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.32 : 5,765.09 = 1,503.23 : x
  2. Step 2: Convert to fraction form
    3,843.32/5,765.09 = 1,503.23/x
  3. Step 3: Cross multiply
    3,843.32x = 5,765.09 × 1,503.23
  4. Step 4: Simplify right side
    3,843.32x = 8,666,219.90
  5. Step 5: Solve for x
    x = 8,666,219.90/3,843.32
  6. Step 6: Final answer
    x = 2,254.88

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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.