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Finding the Fourth Proportional to 6,857.22, 10,290.09 and 3,159.99

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Solution

The fourth proportional to 6,857.22, 10,290.09 and 3,159.99 is: 4,741.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.22 : 10,290.09 = 3,159.99 : x
  2. Step 2: Convert to fraction form
    6,857.22/10,290.09 = 3,159.99/x
  3. Step 3: Cross multiply
    6,857.22x = 10,290.09 × 3,159.99
  4. Step 4: Simplify right side
    6,857.22x = 32,516,581.50
  5. Step 5: Solve for x
    x = 32,516,581.50/6,857.22
  6. Step 6: Final answer
    x = 4,741.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.