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Finding the Fourth Proportional to 5,393.69, 8,092.48 and 1,884.21

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Solution

The fourth proportional to 5,393.69, 8,092.48 and 1,884.21 is: 2,827.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393.69 : 8,092.48 = 1,884.21 : x
  2. Step 2: Convert to fraction form
    5,393.69/8,092.48 = 1,884.21/x
  3. Step 3: Cross multiply
    5,393.69x = 8,092.48 × 1,884.21
  4. Step 4: Simplify right side
    5,393.69x = 15,247,922.32
  5. Step 5: Solve for x
    x = 15,247,922.32/5,393.69
  6. Step 6: Final answer
    x = 2,827.00

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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.