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Finding the Fourth Proportional to 3,697.62, 5,102.72 and 2,126.02

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Solution

The fourth proportional to 3,697.62, 5,102.72 and 2,126.02 is: 2,933.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.62 : 5,102.72 = 2,126.02 : x
  2. Step 2: Convert to fraction form
    3,697.62/5,102.72 = 2,126.02/x
  3. Step 3: Cross multiply
    3,697.62x = 5,102.72 × 2,126.02
  4. Step 4: Simplify right side
    3,697.62x = 10,848,484.77
  5. Step 5: Solve for x
    x = 10,848,484.77/3,697.62
  6. Step 6: Final answer
    x = 2,933.91

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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.