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Finding the Fourth Proportional to 5,743.16, 8,612.92 and 3,805.64

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Solution

The fourth proportional to 5,743.16, 8,612.92 and 3,805.64 is: 5,707.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.16 : 8,612.92 = 3,805.64 : x
  2. Step 2: Convert to fraction form
    5,743.16/8,612.92 = 3,805.64/x
  3. Step 3: Cross multiply
    5,743.16x = 8,612.92 × 3,805.64
  4. Step 4: Simplify right side
    5,743.16x = 32,777,672.87
  5. Step 5: Solve for x
    x = 32,777,672.87/5,743.16
  6. Step 6: Final answer
    x = 5,707.25

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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.