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Finding the Fourth Proportional to 5,523.62, 7,619.72 and 3,424.10

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Solution

The fourth proportional to 5,523.62, 7,619.72 and 3,424.10 is: 4,723.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,523.62 : 7,619.72 = 3,424.10 : x
  2. Step 2: Convert to fraction form
    5,523.62/7,619.72 = 3,424.10/x
  3. Step 3: Cross multiply
    5,523.62x = 7,619.72 × 3,424.10
  4. Step 4: Simplify right side
    5,523.62x = 26,090,628.03
  5. Step 5: Solve for x
    x = 26,090,628.03/5,523.62
  6. Step 6: Final answer
    x = 4,723.47

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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.