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Finding the Fourth Proportional to 4,847.63, 7,271.46 and 1,384.88

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Solution

The fourth proportional to 4,847.63, 7,271.46 and 1,384.88 is: 2,077.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.63 : 7,271.46 = 1,384.88 : x
  2. Step 2: Convert to fraction form
    4,847.63/7,271.46 = 1,384.88/x
  3. Step 3: Cross multiply
    4,847.63x = 7,271.46 × 1,384.88
  4. Step 4: Simplify right side
    4,847.63x = 10,070,063.17
  5. Step 5: Solve for x
    x = 10,070,063.17/4,847.63
  6. Step 6: Final answer
    x = 2,077.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.