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Finding the Fourth Proportional to 4,929.76, 7,351.88 and 4,204

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Solution

The fourth proportional to 4,929.76, 7,351.88 and 4,204 is: 6,269.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,929.76 : 7,351.88 = 4,204 : x
  2. Step 2: Convert to fraction form
    4,929.76/7,351.88 = 4,204/x
  3. Step 3: Cross multiply
    4,929.76x = 7,351.88 × 4,204
  4. Step 4: Simplify right side
    4,929.76x = 30,907,303.52
  5. Step 5: Solve for x
    x = 30,907,303.52/4,929.76
  6. Step 6: Final answer
    x = 6,269.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.