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Finding the Fourth Proportional to 3,744.48, 5,148.72 and 3,383.64

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Solution

The fourth proportional to 3,744.48, 5,148.72 and 3,383.64 is: 4,652.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.48 : 5,148.72 = 3,383.64 : x
  2. Step 2: Convert to fraction form
    3,744.48/5,148.72 = 3,383.64/x
  3. Step 3: Cross multiply
    3,744.48x = 5,148.72 × 3,383.64
  4. Step 4: Simplify right side
    3,744.48x = 17,421,414.94
  5. Step 5: Solve for x
    x = 17,421,414.94/3,744.48
  6. Step 6: Final answer
    x = 4,652.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.