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Finding the Fourth Proportional to 4,847.62, 7,272.06 and 1,384.96

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Solution

The fourth proportional to 4,847.62, 7,272.06 and 1,384.96 is: 2,077.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.62 : 7,272.06 = 1,384.96 : x
  2. Step 2: Convert to fraction form
    4,847.62/7,272.06 = 1,384.96/x
  3. Step 3: Cross multiply
    4,847.62x = 7,272.06 × 1,384.96
  4. Step 4: Simplify right side
    4,847.62x = 10,071,512.22
  5. Step 5: Solve for x
    x = 10,071,512.22/4,847.62
  6. Step 6: Final answer
    x = 2,077.62

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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.