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Finding the Fourth Proportional to 3,633.42, 5,014.54 and 2,307

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Solution

The fourth proportional to 3,633.42, 5,014.54 and 2,307 is: 3,183.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.42 : 5,014.54 = 2,307 : x
  2. Step 2: Convert to fraction form
    3,633.42/5,014.54 = 2,307/x
  3. Step 3: Cross multiply
    3,633.42x = 5,014.54 × 2,307
  4. Step 4: Simplify right side
    3,633.42x = 11,568,543.78
  5. Step 5: Solve for x
    x = 11,568,543.78/3,633.42
  6. Step 6: Final answer
    x = 3,183.93

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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.