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Finding the Fourth Proportional to 4,950, 7,425 and 1,487.25

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Solution

The fourth proportional to 4,950, 7,425 and 1,487.25 is: 2,230.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,950 : 7,425 = 1,487.25 : x
  2. Step 2: Convert to fraction form
    4,950/7,425 = 1,487.25/x
  3. Step 3: Cross multiply
    4,950x = 7,425 × 1,487.25
  4. Step 4: Simplify right side
    4,950x = 11,042,831.25
  5. Step 5: Solve for x
    x = 11,042,831.25/4,950
  6. Step 6: Final answer
    x = 2,230.88

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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.