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Finding the Fourth Proportional to 3,802.64, 5,696.24 and 3,184.60

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Solution

The fourth proportional to 3,802.64, 5,696.24 and 3,184.60 is: 4,770.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.64 : 5,696.24 = 3,184.60 : x
  2. Step 2: Convert to fraction form
    3,802.64/5,696.24 = 3,184.60/x
  3. Step 3: Cross multiply
    3,802.64x = 5,696.24 × 3,184.60
  4. Step 4: Simplify right side
    3,802.64x = 18,140,245.90
  5. Step 5: Solve for x
    x = 18,140,245.90/3,802.64
  6. Step 6: Final answer
    x = 4,770.43

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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.