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Finding the Fourth Proportional to 3,433, 5,148.48 and 1,092.91

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Solution

The fourth proportional to 3,433, 5,148.48 and 1,092.91 is: 1,639.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433 : 5,148.48 = 1,092.91 : x
  2. Step 2: Convert to fraction form
    3,433/5,148.48 = 1,092.91/x
  3. Step 3: Cross multiply
    3,433x = 5,148.48 × 1,092.91
  4. Step 4: Simplify right side
    3,433x = 5,626,825.28
  5. Step 5: Solve for x
    x = 5,626,825.28/3,433
  6. Step 6: Final answer
    x = 1,639.04

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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.