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Finding the Fourth Proportional to 3,789.90, 5,682.11 and 1,597.43

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Solution

The fourth proportional to 3,789.90, 5,682.11 and 1,597.43 is: 2,394.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.90 : 5,682.11 = 1,597.43 : x
  2. Step 2: Convert to fraction form
    3,789.90/5,682.11 = 1,597.43/x
  3. Step 3: Cross multiply
    3,789.90x = 5,682.11 × 1,597.43
  4. Step 4: Simplify right side
    3,789.90x = 9,076,736.58
  5. Step 5: Solve for x
    x = 9,076,736.58/3,789.90
  6. Step 6: Final answer
    x = 2,394.98

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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.