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Finding the Fourth Proportional to 5,981.99, 8,252.69 and 3,857.22

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Solution

The fourth proportional to 5,981.99, 8,252.69 and 3,857.22 is: 5,321.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,981.99 : 8,252.69 = 3,857.22 : x
  2. Step 2: Convert to fraction form
    5,981.99/8,252.69 = 3,857.22/x
  3. Step 3: Cross multiply
    5,981.99x = 8,252.69 × 3,857.22
  4. Step 4: Simplify right side
    5,981.99x = 31,832,421.64
  5. Step 5: Solve for x
    x = 31,832,421.64/5,981.99
  6. Step 6: Final answer
    x = 5,321.38

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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.