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Finding the Fourth Proportional to 5,736.28, 8,605.66 and 1,840.66

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Solution

The fourth proportional to 5,736.28, 8,605.66 and 1,840.66 is: 2,761.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.28 : 8,605.66 = 1,840.66 : x
  2. Step 2: Convert to fraction form
    5,736.28/8,605.66 = 1,840.66/x
  3. Step 3: Cross multiply
    5,736.28x = 8,605.66 × 1,840.66
  4. Step 4: Simplify right side
    5,736.28x = 15,840,094.14
  5. Step 5: Solve for x
    x = 15,840,094.14/5,736.28
  6. Step 6: Final answer
    x = 2,761.39

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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.