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Finding the Fourth Proportional to 5,193.72, 7,794.45 and 3,810.63

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Solution

The fourth proportional to 5,193.72, 7,794.45 and 3,810.63 is: 5,718.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.72 : 7,794.45 = 3,810.63 : x
  2. Step 2: Convert to fraction form
    5,193.72/7,794.45 = 3,810.63/x
  3. Step 3: Cross multiply
    5,193.72x = 7,794.45 × 3,810.63
  4. Step 4: Simplify right side
    5,193.72x = 29,701,765.00
  5. Step 5: Solve for x
    x = 29,701,765.00/5,193.72
  6. Step 6: Final answer
    x = 5,718.78

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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.