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Finding the Fourth Proportional to 4,616.68, 6,371.58 and 3,729.64

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Solution

The fourth proportional to 4,616.68, 6,371.58 and 3,729.64 is: 5,147.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.68 : 6,371.58 = 3,729.64 : x
  2. Step 2: Convert to fraction form
    4,616.68/6,371.58 = 3,729.64/x
  3. Step 3: Cross multiply
    4,616.68x = 6,371.58 × 3,729.64
  4. Step 4: Simplify right side
    4,616.68x = 23,763,699.63
  5. Step 5: Solve for x
    x = 23,763,699.63/4,616.68
  6. Step 6: Final answer
    x = 5,147.36

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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.