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Finding the Fourth Proportional to 4,763.08, 7,146.49 and 3,448.48

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Solution

The fourth proportional to 4,763.08, 7,146.49 and 3,448.48 is: 5,174.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.08 : 7,146.49 = 3,448.48 : x
  2. Step 2: Convert to fraction form
    4,763.08/7,146.49 = 3,448.48/x
  3. Step 3: Cross multiply
    4,763.08x = 7,146.49 × 3,448.48
  4. Step 4: Simplify right side
    4,763.08x = 24,644,527.84
  5. Step 5: Solve for x
    x = 24,644,527.84/4,763.08
  6. Step 6: Final answer
    x = 5,174.07

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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.