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Finding the Fourth Proportional to 4,929.75, 7,385.31 and 3,821.06

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Solution

The fourth proportional to 4,929.75, 7,385.31 and 3,821.06 is: 5,724.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,929.75 : 7,385.31 = 3,821.06 : x
  2. Step 2: Convert to fraction form
    4,929.75/7,385.31 = 3,821.06/x
  3. Step 3: Cross multiply
    4,929.75x = 7,385.31 × 3,821.06
  4. Step 4: Simplify right side
    4,929.75x = 28,219,731.09
  5. Step 5: Solve for x
    x = 28,219,731.09/4,929.75
  6. Step 6: Final answer
    x = 5,724.37

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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.