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Finding the Fourth Proportional to 3,618.60, 5,423.10 and 3,205.80

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Solution

The fourth proportional to 3,618.60, 5,423.10 and 3,205.80 is: 4,804.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,618.60 : 5,423.10 = 3,205.80 : x
  2. Step 2: Convert to fraction form
    3,618.60/5,423.10 = 3,205.80/x
  3. Step 3: Cross multiply
    3,618.60x = 5,423.10 × 3,205.80
  4. Step 4: Simplify right side
    3,618.60x = 17,385,373.98
  5. Step 5: Solve for x
    x = 17,385,373.98/3,618.60
  6. Step 6: Final answer
    x = 4,804.45

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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.