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Finding the Fourth Proportional to 4,743.64, 7,115.46 and 3,100.96

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Solution

The fourth proportional to 4,743.64, 7,115.46 and 3,100.96 is: 4,651.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,743.64 : 7,115.46 = 3,100.96 : x
  2. Step 2: Convert to fraction form
    4,743.64/7,115.46 = 3,100.96/x
  3. Step 3: Cross multiply
    4,743.64x = 7,115.46 × 3,100.96
  4. Step 4: Simplify right side
    4,743.64x = 22,064,756.84
  5. Step 5: Solve for x
    x = 22,064,756.84/4,743.64
  6. Step 6: Final answer
    x = 4,651.44

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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.