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Finding the Fourth Proportional to 3,584.57, 5,374.62 and 1,392.80

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Solution

The fourth proportional to 3,584.57, 5,374.62 and 1,392.80 is: 2,088.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.57 : 5,374.62 = 1,392.80 : x
  2. Step 2: Convert to fraction form
    3,584.57/5,374.62 = 1,392.80/x
  3. Step 3: Cross multiply
    3,584.57x = 5,374.62 × 1,392.80
  4. Step 4: Simplify right side
    3,584.57x = 7,485,743.86
  5. Step 5: Solve for x
    x = 7,485,743.86/3,584.57
  6. Step 6: Final answer
    x = 2,088.33

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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.