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Finding the Fourth Proportional to 5,257.70, 7,886.63 and 2,255.34

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Solution

The fourth proportional to 5,257.70, 7,886.63 and 2,255.34 is: 3,383.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.70 : 7,886.63 = 2,255.34 : x
  2. Step 2: Convert to fraction form
    5,257.70/7,886.63 = 2,255.34/x
  3. Step 3: Cross multiply
    5,257.70x = 7,886.63 × 2,255.34
  4. Step 4: Simplify right side
    5,257.70x = 17,787,032.10
  5. Step 5: Solve for x
    x = 17,787,032.10/5,257.70
  6. Step 6: Final answer
    x = 3,383.04

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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.