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Finding the Fourth Proportional to 4,159.48, 5,733.48 and 3,274.12

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Solution

The fourth proportional to 4,159.48, 5,733.48 and 3,274.12 is: 4,513.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159.48 : 5,733.48 = 3,274.12 : x
  2. Step 2: Convert to fraction form
    4,159.48/5,733.48 = 3,274.12/x
  3. Step 3: Cross multiply
    4,159.48x = 5,733.48 × 3,274.12
  4. Step 4: Simplify right side
    4,159.48x = 18,772,101.54
  5. Step 5: Solve for x
    x = 18,772,101.54/4,159.48
  6. Step 6: Final answer
    x = 4,513.09

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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.