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Finding the Fourth Proportional to 3,697.38, 5,538.48 and 2,460.82

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Solution

The fourth proportional to 3,697.38, 5,538.48 and 2,460.82 is: 3,686.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.38 : 5,538.48 = 2,460.82 : x
  2. Step 2: Convert to fraction form
    3,697.38/5,538.48 = 2,460.82/x
  3. Step 3: Cross multiply
    3,697.38x = 5,538.48 × 2,460.82
  4. Step 4: Simplify right side
    3,697.38x = 13,629,202.35
  5. Step 5: Solve for x
    x = 13,629,202.35/3,697.38
  6. Step 6: Final answer
    x = 3,686.18

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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.