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Finding the Fourth Proportional to 4,613.43, 6,927.44 and 3,643.86

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Solution

The fourth proportional to 4,613.43, 6,927.44 and 3,643.86 is: 5,471.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,613.43 : 6,927.44 = 3,643.86 : x
  2. Step 2: Convert to fraction form
    4,613.43/6,927.44 = 3,643.86/x
  3. Step 3: Cross multiply
    4,613.43x = 6,927.44 × 3,643.86
  4. Step 4: Simplify right side
    4,613.43x = 25,242,621.52
  5. Step 5: Solve for x
    x = 25,242,621.52/4,613.43
  6. Step 6: Final answer
    x = 5,471.55

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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.