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Finding the Fourth Proportional to 3,809.80, 5,714.70 and 3,323.80

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Solution

The fourth proportional to 3,809.80, 5,714.70 and 3,323.80 is: 4,985.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.80 : 5,714.70 = 3,323.80 : x
  2. Step 2: Convert to fraction form
    3,809.80/5,714.70 = 3,323.80/x
  3. Step 3: Cross multiply
    3,809.80x = 5,714.70 × 3,323.80
  4. Step 4: Simplify right side
    3,809.80x = 18,994,519.86
  5. Step 5: Solve for x
    x = 18,994,519.86/3,809.80
  6. Step 6: Final answer
    x = 4,985.70

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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.