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Finding the Fourth Proportional to 5,402.57, 8,103.84 and 3,092.45

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Solution

The fourth proportional to 5,402.57, 8,103.84 and 3,092.45 is: 4,638.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.57 : 8,103.84 = 3,092.45 : x
  2. Step 2: Convert to fraction form
    5,402.57/8,103.84 = 3,092.45/x
  3. Step 3: Cross multiply
    5,402.57x = 8,103.84 × 3,092.45
  4. Step 4: Simplify right side
    5,402.57x = 25,060,679.49
  5. Step 5: Solve for x
    x = 25,060,679.49/5,402.57
  6. Step 6: Final answer
    x = 4,638.66

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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.