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Finding the Fourth Proportional to 3,462.75, 4,778.62 and 1,890.84

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Solution

The fourth proportional to 3,462.75, 4,778.62 and 1,890.84 is: 2,609.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.75 : 4,778.62 = 1,890.84 : x
  2. Step 2: Convert to fraction form
    3,462.75/4,778.62 = 1,890.84/x
  3. Step 3: Cross multiply
    3,462.75x = 4,778.62 × 1,890.84
  4. Step 4: Simplify right side
    3,462.75x = 9,035,624.35
  5. Step 5: Solve for x
    x = 9,035,624.35/3,462.75
  6. Step 6: Final answer
    x = 2,609.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.