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Finding the Fourth Proportional to 3,400.47, 5,100.77 and 935.28

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Solution

The fourth proportional to 3,400.47, 5,100.77 and 935.28 is: 1,402.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.47 : 5,100.77 = 935.28 : x
  2. Step 2: Convert to fraction form
    3,400.47/5,100.77 = 935.28/x
  3. Step 3: Cross multiply
    3,400.47x = 5,100.77 × 935.28
  4. Step 4: Simplify right side
    3,400.47x = 4,770,648.17
  5. Step 5: Solve for x
    x = 4,770,648.17/3,400.47
  6. Step 6: Final answer
    x = 1,402.94

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