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Finding the Fourth Proportional to 3,833.36, 5,744.64 and 1,748.24

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Solution

The fourth proportional to 3,833.36, 5,744.64 and 1,748.24 is: 2,619.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.36 : 5,744.64 = 1,748.24 : x
  2. Step 2: Convert to fraction form
    3,833.36/5,744.64 = 1,748.24/x
  3. Step 3: Cross multiply
    3,833.36x = 5,744.64 × 1,748.24
  4. Step 4: Simplify right side
    3,833.36x = 10,043,009.43
  5. Step 5: Solve for x
    x = 10,043,009.43/3,833.36
  6. Step 6: Final answer
    x = 2,619.90

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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.