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Finding the Fourth Proportional to 4,549.96, 6,840.06 and 3,734.29

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Solution

The fourth proportional to 4,549.96, 6,840.06 and 3,734.29 is: 5,613.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549.96 : 6,840.06 = 3,734.29 : x
  2. Step 2: Convert to fraction form
    4,549.96/6,840.06 = 3,734.29/x
  3. Step 3: Cross multiply
    4,549.96x = 6,840.06 × 3,734.29
  4. Step 4: Simplify right side
    4,549.96x = 25,542,767.66
  5. Step 5: Solve for x
    x = 25,542,767.66/4,549.96
  6. Step 6: Final answer
    x = 5,613.84

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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.