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Finding the Fourth Proportional to 3,612.54, 5,419.27 and 1,146.48

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Solution

The fourth proportional to 3,612.54, 5,419.27 and 1,146.48 is: 1,719.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.54 : 5,419.27 = 1,146.48 : x
  2. Step 2: Convert to fraction form
    3,612.54/5,419.27 = 1,146.48/x
  3. Step 3: Cross multiply
    3,612.54x = 5,419.27 × 1,146.48
  4. Step 4: Simplify right side
    3,612.54x = 6,213,081.80
  5. Step 5: Solve for x
    x = 6,213,081.80/3,612.54
  6. Step 6: Final answer
    x = 1,719.87

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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.