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Finding the Fourth Proportional to 4,149, 5,725.78 and 2,286.12

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Solution

The fourth proportional to 4,149, 5,725.78 and 2,286.12 is: 3,154.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149 : 5,725.78 = 2,286.12 : x
  2. Step 2: Convert to fraction form
    4,149/5,725.78 = 2,286.12/x
  3. Step 3: Cross multiply
    4,149x = 5,725.78 × 2,286.12
  4. Step 4: Simplify right side
    4,149x = 13,089,820.17
  5. Step 5: Solve for x
    x = 13,089,820.17/4,149
  6. Step 6: Final answer
    x = 3,154.93

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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.