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Finding the Fourth Proportional to 3,685.45, 5,520.77 and 1,830.95

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Solution

The fourth proportional to 3,685.45, 5,520.77 and 1,830.95 is: 2,742.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.45 : 5,520.77 = 1,830.95 : x
  2. Step 2: Convert to fraction form
    3,685.45/5,520.77 = 1,830.95/x
  3. Step 3: Cross multiply
    3,685.45x = 5,520.77 × 1,830.95
  4. Step 4: Simplify right side
    3,685.45x = 10,108,244.68
  5. Step 5: Solve for x
    x = 10,108,244.68/3,685.45
  6. Step 6: Final answer
    x = 2,742.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.