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Finding the Fourth Proportional to 3,883.60, 5,827.56 and 2,152

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Solution

The fourth proportional to 3,883.60, 5,827.56 and 2,152 is: 3,229.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.60 : 5,827.56 = 2,152 : x
  2. Step 2: Convert to fraction form
    3,883.60/5,827.56 = 2,152/x
  3. Step 3: Cross multiply
    3,883.60x = 5,827.56 × 2,152
  4. Step 4: Simplify right side
    3,883.60x = 12,540,909.12
  5. Step 5: Solve for x
    x = 12,540,909.12/3,883.60
  6. Step 6: Final answer
    x = 3,229.20

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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.