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Finding the Fourth Proportional to 5,755.36, 7,942.48 and 4,497.88

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Solution

The fourth proportional to 5,755.36, 7,942.48 and 4,497.88 is: 6,207.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.36 : 7,942.48 = 4,497.88 : x
  2. Step 2: Convert to fraction form
    5,755.36/7,942.48 = 4,497.88/x
  3. Step 3: Cross multiply
    5,755.36x = 7,942.48 × 4,497.88
  4. Step 4: Simplify right side
    5,755.36x = 35,724,321.94
  5. Step 5: Solve for x
    x = 35,724,321.94/5,755.36
  6. Step 6: Final answer
    x = 6,207.14

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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.