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Finding the Fourth Proportional to 3,720.77, 5,575.50 and 2,546.63

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Solution

The fourth proportional to 3,720.77, 5,575.50 and 2,546.63 is: 3,816.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720.77 : 5,575.50 = 2,546.63 : x
  2. Step 2: Convert to fraction form
    3,720.77/5,575.50 = 2,546.63/x
  3. Step 3: Cross multiply
    3,720.77x = 5,575.50 × 2,546.63
  4. Step 4: Simplify right side
    3,720.77x = 14,198,735.57
  5. Step 5: Solve for x
    x = 14,198,735.57/3,720.77
  6. Step 6: Final answer
    x = 3,816.07

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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.