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Finding the Fourth Proportional to 5,736.06, 8,605.17 and 2,449.08

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Solution

The fourth proportional to 5,736.06, 8,605.17 and 2,449.08 is: 3,674.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.06 : 8,605.17 = 2,449.08 : x
  2. Step 2: Convert to fraction form
    5,736.06/8,605.17 = 2,449.08/x
  3. Step 3: Cross multiply
    5,736.06x = 8,605.17 × 2,449.08
  4. Step 4: Simplify right side
    5,736.06x = 21,074,749.74
  5. Step 5: Solve for x
    x = 21,074,749.74/5,736.06
  6. Step 6: Final answer
    x = 3,674.08

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1.5x scale

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.