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Finding the Fourth Proportional to 3,433.34, 5,148.08 and 1,092.93

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Solution

The fourth proportional to 3,433.34, 5,148.08 and 1,092.93 is: 1,638.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.34 : 5,148.08 = 1,092.93 : x
  2. Step 2: Convert to fraction form
    3,433.34/5,148.08 = 1,092.93/x
  3. Step 3: Cross multiply
    3,433.34x = 5,148.08 × 1,092.93
  4. Step 4: Simplify right side
    3,433.34x = 5,626,485.61
  5. Step 5: Solve for x
    x = 5,626,485.61/3,433.34
  6. Step 6: Final answer
    x = 1,638.78

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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.