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Finding the Fourth Proportional to 3,698.34, 5,102.46 and 2,126.04

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Solution

The fourth proportional to 3,698.34, 5,102.46 and 2,126.04 is: 2,933.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.34 : 5,102.46 = 2,126.04 : x
  2. Step 2: Convert to fraction form
    3,698.34/5,102.46 = 2,126.04/x
  3. Step 3: Cross multiply
    3,698.34x = 5,102.46 × 2,126.04
  4. Step 4: Simplify right side
    3,698.34x = 10,848,034.06
  5. Step 5: Solve for x
    x = 10,848,034.06/3,698.34
  6. Step 6: Final answer
    x = 2,933.22

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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.