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Finding the Fourth Proportional to 5,883.47, 8,119 and 3,230.88

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Solution

The fourth proportional to 5,883.47, 8,119 and 3,230.88 is: 4,458.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,883.47 : 8,119 = 3,230.88 : x
  2. Step 2: Convert to fraction form
    5,883.47/8,119 = 3,230.88/x
  3. Step 3: Cross multiply
    5,883.47x = 8,119 × 3,230.88
  4. Step 4: Simplify right side
    5,883.47x = 26,231,514.72
  5. Step 5: Solve for x
    x = 26,231,514.72/5,883.47
  6. Step 6: Final answer
    x = 4,458.51

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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.