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Finding the Fourth Proportional to 3,809.44, 5,714.34 and 1,500.76

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Solution

The fourth proportional to 3,809.44, 5,714.34 and 1,500.76 is: 2,251.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.44 : 5,714.34 = 1,500.76 : x
  2. Step 2: Convert to fraction form
    3,809.44/5,714.34 = 1,500.76/x
  3. Step 3: Cross multiply
    3,809.44x = 5,714.34 × 1,500.76
  4. Step 4: Simplify right side
    3,809.44x = 8,575,852.90
  5. Step 5: Solve for x
    x = 8,575,852.90/3,809.44
  6. Step 6: Final answer
    x = 2,251.21

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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.