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Finding the Fourth Proportional to 3,892.87, 5,840.19 and 1,702.23

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Solution

The fourth proportional to 3,892.87, 5,840.19 and 1,702.23 is: 2,553.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.87 : 5,840.19 = 1,702.23 : x
  2. Step 2: Convert to fraction form
    3,892.87/5,840.19 = 1,702.23/x
  3. Step 3: Cross multiply
    3,892.87x = 5,840.19 × 1,702.23
  4. Step 4: Simplify right side
    3,892.87x = 9,941,346.62
  5. Step 5: Solve for x
    x = 9,941,346.62/3,892.87
  6. Step 6: Final answer
    x = 2,553.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.