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Finding the Fourth Proportional to 4,731.71, 7,090.26 and 2,996.69

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Solution

The fourth proportional to 4,731.71, 7,090.26 and 2,996.69 is: 4,490.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.71 : 7,090.26 = 2,996.69 : x
  2. Step 2: Convert to fraction form
    4,731.71/7,090.26 = 2,996.69/x
  3. Step 3: Cross multiply
    4,731.71x = 7,090.26 × 2,996.69
  4. Step 4: Simplify right side
    4,731.71x = 21,247,311.24
  5. Step 5: Solve for x
    x = 21,247,311.24/4,731.71
  6. Step 6: Final answer
    x = 4,490.41

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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.