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Finding the Fourth Proportional to 3,388.57, 5,073.60 and 2,564.34

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Solution

The fourth proportional to 3,388.57, 5,073.60 and 2,564.34 is: 3,839.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,388.57 : 5,073.60 = 2,564.34 : x
  2. Step 2: Convert to fraction form
    3,388.57/5,073.60 = 2,564.34/x
  3. Step 3: Cross multiply
    3,388.57x = 5,073.60 × 2,564.34
  4. Step 4: Simplify right side
    3,388.57x = 13,010,454.55
  5. Step 5: Solve for x
    x = 13,010,454.55/3,388.57
  6. Step 6: Final answer
    x = 3,839.51

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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.