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Finding the Fourth Proportional to 3,697.25, 5,093.54 and 2,576.16

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Solution

The fourth proportional to 3,697.25, 5,093.54 and 2,576.16 is: 3,549.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.25 : 5,093.54 = 2,576.16 : x
  2. Step 2: Convert to fraction form
    3,697.25/5,093.54 = 2,576.16/x
  3. Step 3: Cross multiply
    3,697.25x = 5,093.54 × 2,576.16
  4. Step 4: Simplify right side
    3,697.25x = 13,121,735.66
  5. Step 5: Solve for x
    x = 13,121,735.66/3,697.25
  6. Step 6: Final answer
    x = 3,549.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.