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Finding the Fourth Proportional to 5,463.56, 7,538.10 and 3,225.62

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Solution

The fourth proportional to 5,463.56, 7,538.10 and 3,225.62 is: 4,450.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.56 : 7,538.10 = 3,225.62 : x
  2. Step 2: Convert to fraction form
    5,463.56/7,538.10 = 3,225.62/x
  3. Step 3: Cross multiply
    5,463.56x = 7,538.10 × 3,225.62
  4. Step 4: Simplify right side
    5,463.56x = 24,315,046.12
  5. Step 5: Solve for x
    x = 24,315,046.12/5,463.56
  6. Step 6: Final answer
    x = 4,450.40

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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.