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Finding the Fourth Proportional to 3,395.43, 5,092.74 and 930.47

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Solution

The fourth proportional to 3,395.43, 5,092.74 and 930.47 is: 1,395.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,395.43 : 5,092.74 = 930.47 : x
  2. Step 2: Convert to fraction form
    3,395.43/5,092.74 = 930.47/x
  3. Step 3: Cross multiply
    3,395.43x = 5,092.74 × 930.47
  4. Step 4: Simplify right side
    3,395.43x = 4,738,616.32
  5. Step 5: Solve for x
    x = 4,738,616.32/3,395.43
  6. Step 6: Final answer
    x = 1,395.59

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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.