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Finding the Fourth Proportional to 5,178.03, 7,770.93 and 3,794.89

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Solution

The fourth proportional to 5,178.03, 7,770.93 and 3,794.89 is: 5,695.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.03 : 7,770.93 = 3,794.89 : x
  2. Step 2: Convert to fraction form
    5,178.03/7,770.93 = 3,794.89/x
  3. Step 3: Cross multiply
    5,178.03x = 7,770.93 × 3,794.89
  4. Step 4: Simplify right side
    5,178.03x = 29,489,824.55
  5. Step 5: Solve for x
    x = 29,489,824.55/5,178.03
  6. Step 6: Final answer
    x = 5,695.18

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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.