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Finding the Fourth Proportional to 3,546.56, 4,891.56 and 3,148.64

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Solution

The fourth proportional to 3,546.56, 4,891.56 and 3,148.64 is: 4,342.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.56 : 4,891.56 = 3,148.64 : x
  2. Step 2: Convert to fraction form
    3,546.56/4,891.56 = 3,148.64/x
  3. Step 3: Cross multiply
    3,546.56x = 4,891.56 × 3,148.64
  4. Step 4: Simplify right side
    3,546.56x = 15,401,761.48
  5. Step 5: Solve for x
    x = 15,401,761.48/3,546.56
  6. Step 6: Final answer
    x = 4,342.73

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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.