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Finding the Fourth Proportional to 5,194.76, 7,794.56 and 3,005.33

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Solution

The fourth proportional to 5,194.76, 7,794.56 and 3,005.33 is: 4,509.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.76 : 7,794.56 = 3,005.33 : x
  2. Step 2: Convert to fraction form
    5,194.76/7,794.56 = 3,005.33/x
  3. Step 3: Cross multiply
    5,194.76x = 7,794.56 × 3,005.33
  4. Step 4: Simplify right side
    5,194.76x = 23,425,193.55
  5. Step 5: Solve for x
    x = 23,425,193.55/5,194.76
  6. Step 6: Final answer
    x = 4,509.39

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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.