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Finding the Fourth Proportional to 4,105.46, 5,665.46 and 2,337.03

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Solution

The fourth proportional to 4,105.46, 5,665.46 and 2,337.03 is: 3,225.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105.46 : 5,665.46 = 2,337.03 : x
  2. Step 2: Convert to fraction form
    4,105.46/5,665.46 = 2,337.03/x
  3. Step 3: Cross multiply
    4,105.46x = 5,665.46 × 2,337.03
  4. Step 4: Simplify right side
    4,105.46x = 13,240,338.30
  5. Step 5: Solve for x
    x = 13,240,338.30/4,105.46
  6. Step 6: Final answer
    x = 3,225.06

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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.