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Finding the Fourth Proportional to 5,530.68, 7,630.20 and 3,763.80

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Solution

The fourth proportional to 5,530.68, 7,630.20 and 3,763.80 is: 5,192.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,530.68 : 7,630.20 = 3,763.80 : x
  2. Step 2: Convert to fraction form
    5,530.68/7,630.20 = 3,763.80/x
  3. Step 3: Cross multiply
    5,530.68x = 7,630.20 × 3,763.80
  4. Step 4: Simplify right side
    5,530.68x = 28,718,546.76
  5. Step 5: Solve for x
    x = 28,718,546.76/5,530.68
  6. Step 6: Final answer
    x = 5,192.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.