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Finding the Fourth Proportional to 5,025, 7,538.04 and 2,252.91

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Solution

The fourth proportional to 5,025, 7,538.04 and 2,252.91 is: 3,379.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,025 : 7,538.04 = 2,252.91 : x
  2. Step 2: Convert to fraction form
    5,025/7,538.04 = 2,252.91/x
  3. Step 3: Cross multiply
    5,025x = 7,538.04 × 2,252.91
  4. Step 4: Simplify right side
    5,025x = 16,982,525.70
  5. Step 5: Solve for x
    x = 16,982,525.70/5,025
  6. Step 6: Final answer
    x = 3,379.61

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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.