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Finding the Fourth Proportional to 3,583.36, 5,348.80 and 3,168.64

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Solution

The fourth proportional to 3,583.36, 5,348.80 and 3,168.64 is: 4,729.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.36 : 5,348.80 = 3,168.64 : x
  2. Step 2: Convert to fraction form
    3,583.36/5,348.80 = 3,168.64/x
  3. Step 3: Cross multiply
    3,583.36x = 5,348.80 × 3,168.64
  4. Step 4: Simplify right side
    3,583.36x = 16,948,421.63
  5. Step 5: Solve for x
    x = 16,948,421.63/3,583.36
  6. Step 6: Final answer
    x = 4,729.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.