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Finding the Fourth Proportional to 4,948.50, 7,424.02 and 3,647.75

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Solution

The fourth proportional to 4,948.50, 7,424.02 and 3,647.75 is: 5,472.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.50 : 7,424.02 = 3,647.75 : x
  2. Step 2: Convert to fraction form
    4,948.50/7,424.02 = 3,647.75/x
  3. Step 3: Cross multiply
    4,948.50x = 7,424.02 × 3,647.75
  4. Step 4: Simplify right side
    4,948.50x = 27,080,936.39
  5. Step 5: Solve for x
    x = 27,080,936.39/4,948.50
  6. Step 6: Final answer
    x = 5,472.55

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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.