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Finding the Fourth Proportional to 5,775.69, 7,961.05 and 4,514.52

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Solution

The fourth proportional to 5,775.69, 7,961.05 and 4,514.52 is: 6,222.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775.69 : 7,961.05 = 4,514.52 : x
  2. Step 2: Convert to fraction form
    5,775.69/7,961.05 = 4,514.52/x
  3. Step 3: Cross multiply
    5,775.69x = 7,961.05 × 4,514.52
  4. Step 4: Simplify right side
    5,775.69x = 35,940,319.45
  5. Step 5: Solve for x
    x = 35,940,319.45/5,775.69
  6. Step 6: Final answer
    x = 6,222.69

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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.