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Finding the Fourth Proportional to 4,473.86, 6,703.21 and 2,738.86

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Solution

The fourth proportional to 4,473.86, 6,703.21 and 2,738.86 is: 4,103.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,473.86 : 6,703.21 = 2,738.86 : x
  2. Step 2: Convert to fraction form
    4,473.86/6,703.21 = 2,738.86/x
  3. Step 3: Cross multiply
    4,473.86x = 6,703.21 × 2,738.86
  4. Step 4: Simplify right side
    4,473.86x = 18,359,153.74
  5. Step 5: Solve for x
    x = 18,359,153.74/4,473.86
  6. Step 6: Final answer
    x = 4,103.65

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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.