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Finding the Fourth Proportional to 5,736.92, 8,590.79 and 5,255.78

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Solution

The fourth proportional to 5,736.92, 8,590.79 and 5,255.78 is: 7,870.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.92 : 8,590.79 = 5,255.78 : x
  2. Step 2: Convert to fraction form
    5,736.92/8,590.79 = 5,255.78/x
  3. Step 3: Cross multiply
    5,736.92x = 8,590.79 × 5,255.78
  4. Step 4: Simplify right side
    5,736.92x = 45,151,272.45
  5. Step 5: Solve for x
    x = 45,151,272.45/5,736.92
  6. Step 6: Final answer
    x = 7,870.31

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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.