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Finding the Fourth Proportional to 5,999.74, 8,282.66 and 4,114.80

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Solution

The fourth proportional to 5,999.74, 8,282.66 and 4,114.80 is: 5,680.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,999.74 : 8,282.66 = 4,114.80 : x
  2. Step 2: Convert to fraction form
    5,999.74/8,282.66 = 4,114.80/x
  3. Step 3: Cross multiply
    5,999.74x = 8,282.66 × 4,114.80
  4. Step 4: Simplify right side
    5,999.74x = 34,081,468.79
  5. Step 5: Solve for x
    x = 34,081,468.79/5,999.74
  6. Step 6: Final answer
    x = 5,680.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.