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Finding the Fourth Proportional to 5,074.23, 6,999.89 and 3,395.71

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Solution

The fourth proportional to 5,074.23, 6,999.89 and 3,395.71 is: 4,684.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,074.23 : 6,999.89 = 3,395.71 : x
  2. Step 2: Convert to fraction form
    5,074.23/6,999.89 = 3,395.71/x
  3. Step 3: Cross multiply
    5,074.23x = 6,999.89 × 3,395.71
  4. Step 4: Simplify right side
    5,074.23x = 23,769,596.47
  5. Step 5: Solve for x
    x = 23,769,596.47/5,074.23
  6. Step 6: Final answer
    x = 4,684.38

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Why These Related Problems?

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