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Finding the Fourth Proportional to 3,771.60, 5,657.38 and 2,584.46

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Solution

The fourth proportional to 3,771.60, 5,657.38 and 2,584.46 is: 3,876.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.60 : 5,657.38 = 2,584.46 : x
  2. Step 2: Convert to fraction form
    3,771.60/5,657.38 = 2,584.46/x
  3. Step 3: Cross multiply
    3,771.60x = 5,657.38 × 2,584.46
  4. Step 4: Simplify right side
    3,771.60x = 14,621,272.31
  5. Step 5: Solve for x
    x = 14,621,272.31/3,771.60
  6. Step 6: Final answer
    x = 3,876.68

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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.