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Finding the Fourth Proportional to 3,704.42, 5,107.46 and 2,905.26

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Solution

The fourth proportional to 3,704.42, 5,107.46 and 2,905.26 is: 4,005.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.42 : 5,107.46 = 2,905.26 : x
  2. Step 2: Convert to fraction form
    3,704.42/5,107.46 = 2,905.26/x
  3. Step 3: Cross multiply
    3,704.42x = 5,107.46 × 2,905.26
  4. Step 4: Simplify right side
    3,704.42x = 14,838,499.24
  5. Step 5: Solve for x
    x = 14,838,499.24/3,704.42
  6. Step 6: Final answer
    x = 4,005.62

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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.