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Finding the Fourth Proportional to 3,924.80, 5,890.10 and 1,584.80

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Solution

The fourth proportional to 3,924.80, 5,890.10 and 1,584.80 is: 2,378.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.80 : 5,890.10 = 1,584.80 : x
  2. Step 2: Convert to fraction form
    3,924.80/5,890.10 = 1,584.80/x
  3. Step 3: Cross multiply
    3,924.80x = 5,890.10 × 1,584.80
  4. Step 4: Simplify right side
    3,924.80x = 9,334,630.48
  5. Step 5: Solve for x
    x = 9,334,630.48/3,924.80
  6. Step 6: Final answer
    x = 2,378.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.