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Finding the Fourth Proportional to 4,768.50, 7,154.33 and 1,846.83

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Solution

The fourth proportional to 4,768.50, 7,154.33 and 1,846.83 is: 2,770.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.50 : 7,154.33 = 1,846.83 : x
  2. Step 2: Convert to fraction form
    4,768.50/7,154.33 = 1,846.83/x
  3. Step 3: Cross multiply
    4,768.50x = 7,154.33 × 1,846.83
  4. Step 4: Simplify right side
    4,768.50x = 13,212,831.27
  5. Step 5: Solve for x
    x = 13,212,831.27/4,768.50
  6. Step 6: Final answer
    x = 2,770.86

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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.