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Finding the Fourth Proportional to 5,857.99, 8,083.22 and 3,499.63

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Solution

The fourth proportional to 5,857.99, 8,083.22 and 3,499.63 is: 4,829.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.99 : 8,083.22 = 3,499.63 : x
  2. Step 2: Convert to fraction form
    5,857.99/8,083.22 = 3,499.63/x
  3. Step 3: Cross multiply
    5,857.99x = 8,083.22 × 3,499.63
  4. Step 4: Simplify right side
    5,857.99x = 28,288,238.79
  5. Step 5: Solve for x
    x = 28,288,238.79/5,857.99
  6. Step 6: Final answer
    x = 4,829.00

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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.