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Finding the Fourth Proportional to 5,602.94, 8,402.87 and 2,092.80

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Solution

The fourth proportional to 5,602.94, 8,402.87 and 2,092.80 is: 3,138.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.94 : 8,402.87 = 2,092.80 : x
  2. Step 2: Convert to fraction form
    5,602.94/8,402.87 = 2,092.80/x
  3. Step 3: Cross multiply
    5,602.94x = 8,402.87 × 2,092.80
  4. Step 4: Simplify right side
    5,602.94x = 17,585,515.87
  5. Step 5: Solve for x
    x = 17,585,515.87/5,602.94
  6. Step 6: Final answer
    x = 3,138.63

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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.