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Finding the Fourth Proportional to 3,400.76, 5,100.56 and 935

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Solution

The fourth proportional to 3,400.76, 5,100.56 and 935 is: 1,402.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.76 : 5,100.56 = 935 : x
  2. Step 2: Convert to fraction form
    3,400.76/5,100.56 = 935/x
  3. Step 3: Cross multiply
    3,400.76x = 5,100.56 × 935
  4. Step 4: Simplify right side
    3,400.76x = 4,769,023.60
  5. Step 5: Solve for x
    x = 4,769,023.60/3,400.76
  6. Step 6: Final answer
    x = 1,402.34

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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.