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Finding the Fourth Proportional to 4,894.44, 7,337.82 and 1,816.68

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Solution

The fourth proportional to 4,894.44, 7,337.82 and 1,816.68 is: 2,723.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.44 : 7,337.82 = 1,816.68 : x
  2. Step 2: Convert to fraction form
    4,894.44/7,337.82 = 1,816.68/x
  3. Step 3: Cross multiply
    4,894.44x = 7,337.82 × 1,816.68
  4. Step 4: Simplify right side
    4,894.44x = 13,330,470.84
  5. Step 5: Solve for x
    x = 13,330,470.84/4,894.44
  6. Step 6: Final answer
    x = 2,723.59

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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.