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Finding the Fourth Proportional to 3,662.40, 5,496.24 and 1,714.80

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Solution

The fourth proportional to 3,662.40, 5,496.24 and 1,714.80 is: 2,573.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.40 : 5,496.24 = 1,714.80 : x
  2. Step 2: Convert to fraction form
    3,662.40/5,496.24 = 1,714.80/x
  3. Step 3: Cross multiply
    3,662.40x = 5,496.24 × 1,714.80
  4. Step 4: Simplify right side
    3,662.40x = 9,424,952.35
  5. Step 5: Solve for x
    x = 9,424,952.35/3,662.40
  6. Step 6: Final answer
    x = 2,573.44

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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.