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Finding the Fourth Proportional to 4,961.48, 7,441.52 and 1,263.38

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Solution

The fourth proportional to 4,961.48, 7,441.52 and 1,263.38 is: 1,894.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,961.48 : 7,441.52 = 1,263.38 : x
  2. Step 2: Convert to fraction form
    4,961.48/7,441.52 = 1,263.38/x
  3. Step 3: Cross multiply
    4,961.48x = 7,441.52 × 1,263.38
  4. Step 4: Simplify right side
    4,961.48x = 9,401,424.01
  5. Step 5: Solve for x
    x = 9,401,424.01/4,961.48
  6. Step 6: Final answer
    x = 1,894.88

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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.