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Finding the Fourth Proportional to 6,103.89, 8,419.23 and 4,332.42

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Solution

The fourth proportional to 6,103.89, 8,419.23 and 4,332.42 is: 5,975.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103.89 : 8,419.23 = 4,332.42 : x
  2. Step 2: Convert to fraction form
    6,103.89/8,419.23 = 4,332.42/x
  3. Step 3: Cross multiply
    6,103.89x = 8,419.23 × 4,332.42
  4. Step 4: Simplify right side
    6,103.89x = 36,475,640.44
  5. Step 5: Solve for x
    x = 36,475,640.44/6,103.89
  6. Step 6: Final answer
    x = 5,975.80

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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.