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Finding the Fourth Proportional to 5,736.17, 8,589.66 and 5,255.03

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Solution

The fourth proportional to 5,736.17, 8,589.66 and 5,255.03 is: 7,869.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.17 : 8,589.66 = 5,255.03 : x
  2. Step 2: Convert to fraction form
    5,736.17/8,589.66 = 5,255.03/x
  3. Step 3: Cross multiply
    5,736.17x = 8,589.66 × 5,255.03
  4. Step 4: Simplify right side
    5,736.17x = 45,138,878.04
  5. Step 5: Solve for x
    x = 45,138,878.04/5,736.17
  6. Step 6: Final answer
    x = 7,869.17

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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.