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Finding the Fourth Proportional to 4,543.86, 6,815.85 and 2,993.79

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Solution

The fourth proportional to 4,543.86, 6,815.85 and 2,993.79 is: 4,490.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,543.86 : 6,815.85 = 2,993.79 : x
  2. Step 2: Convert to fraction form
    4,543.86/6,815.85 = 2,993.79/x
  3. Step 3: Cross multiply
    4,543.86x = 6,815.85 × 2,993.79
  4. Step 4: Simplify right side
    4,543.86x = 20,405,189.49
  5. Step 5: Solve for x
    x = 20,405,189.49/4,543.86
  6. Step 6: Final answer
    x = 4,490.72

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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.