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Finding the Fourth Proportional to 3,765.36, 5,640.30 and 2,529.12

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Solution

The fourth proportional to 3,765.36, 5,640.30 and 2,529.12 is: 3,788.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.36 : 5,640.30 = 2,529.12 : x
  2. Step 2: Convert to fraction form
    3,765.36/5,640.30 = 2,529.12/x
  3. Step 3: Cross multiply
    3,765.36x = 5,640.30 × 2,529.12
  4. Step 4: Simplify right side
    3,765.36x = 14,264,995.54
  5. Step 5: Solve for x
    x = 14,264,995.54/3,765.36
  6. Step 6: Final answer
    x = 3,788.48

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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.