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Finding the Fourth Proportional to 3,453.38, 5,178.06 and 2,359.06

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Solution

The fourth proportional to 3,453.38, 5,178.06 and 2,359.06 is: 3,537.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.38 : 5,178.06 = 2,359.06 : x
  2. Step 2: Convert to fraction form
    3,453.38/5,178.06 = 2,359.06/x
  3. Step 3: Cross multiply
    3,453.38x = 5,178.06 × 2,359.06
  4. Step 4: Simplify right side
    3,453.38x = 12,215,354.22
  5. Step 5: Solve for x
    x = 12,215,354.22/3,453.38
  6. Step 6: Final answer
    x = 3,537.22

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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.