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Finding the Fourth Proportional to 5,194.39, 7,791.63 and 1,731.64

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Solution

The fourth proportional to 5,194.39, 7,791.63 and 1,731.64 is: 2,597.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.39 : 7,791.63 = 1,731.64 : x
  2. Step 2: Convert to fraction form
    5,194.39/7,791.63 = 1,731.64/x
  3. Step 3: Cross multiply
    5,194.39x = 7,791.63 × 1,731.64
  4. Step 4: Simplify right side
    5,194.39x = 13,492,298.17
  5. Step 5: Solve for x
    x = 13,492,298.17/5,194.39
  6. Step 6: Final answer
    x = 2,597.48

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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.