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Finding the Fourth Proportional to 4,847.72, 7,271.56 and 1,384.96

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Solution

The fourth proportional to 4,847.72, 7,271.56 and 1,384.96 is: 2,077.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.72 : 7,271.56 = 1,384.96 : x
  2. Step 2: Convert to fraction form
    4,847.72/7,271.56 = 1,384.96/x
  3. Step 3: Cross multiply
    4,847.72x = 7,271.56 × 1,384.96
  4. Step 4: Simplify right side
    4,847.72x = 10,070,819.74
  5. Step 5: Solve for x
    x = 10,070,819.74/4,847.72
  6. Step 6: Final answer
    x = 2,077.43

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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.