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Finding the Fourth Proportional to 5,200.70, 7,800.29 and 1,691.03

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Solution

The fourth proportional to 5,200.70, 7,800.29 and 1,691.03 is: 2,536.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.70 : 7,800.29 = 1,691.03 : x
  2. Step 2: Convert to fraction form
    5,200.70/7,800.29 = 1,691.03/x
  3. Step 3: Cross multiply
    5,200.70x = 7,800.29 × 1,691.03
  4. Step 4: Simplify right side
    5,200.70x = 13,190,476.94
  5. Step 5: Solve for x
    x = 13,190,476.94/5,200.70
  6. Step 6: Final answer
    x = 2,536.29

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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.