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Finding the Fourth Proportional to 5,755.35, 7,942.47 and 4,497.87

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Solution

The fourth proportional to 5,755.35, 7,942.47 and 4,497.87 is: 6,207.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.35 : 7,942.47 = 4,497.87 : x
  2. Step 2: Convert to fraction form
    5,755.35/7,942.47 = 4,497.87/x
  3. Step 3: Cross multiply
    5,755.35x = 7,942.47 × 4,497.87
  4. Step 4: Simplify right side
    5,755.35x = 35,724,197.54
  5. Step 5: Solve for x
    x = 35,724,197.54/5,755.35
  6. Step 6: Final answer
    x = 6,207.13

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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.