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Finding the Fourth Proportional to 4,734.86, 7,089.39 and 3,419.96

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Solution

The fourth proportional to 4,734.86, 7,089.39 and 3,419.96 is: 5,120.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.86 : 7,089.39 = 3,419.96 : x
  2. Step 2: Convert to fraction form
    4,734.86/7,089.39 = 3,419.96/x
  3. Step 3: Cross multiply
    4,734.86x = 7,089.39 × 3,419.96
  4. Step 4: Simplify right side
    4,734.86x = 24,245,394.78
  5. Step 5: Solve for x
    x = 24,245,394.78/4,734.86
  6. Step 6: Final answer
    x = 5,120.62

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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.