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Finding the Fourth Proportional to 3,626.03, 5,434.87 and 1,674.13

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Solution

The fourth proportional to 3,626.03, 5,434.87 and 1,674.13 is: 2,509.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626.03 : 5,434.87 = 1,674.13 : x
  2. Step 2: Convert to fraction form
    3,626.03/5,434.87 = 1,674.13/x
  3. Step 3: Cross multiply
    3,626.03x = 5,434.87 × 1,674.13
  4. Step 4: Simplify right side
    3,626.03x = 9,098,678.91
  5. Step 5: Solve for x
    x = 9,098,678.91/3,626.03
  6. Step 6: Final answer
    x = 2,509.27

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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.