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Finding the Fourth Proportional to 4,616.62, 6,359.81 and 3,672.12

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Solution

The fourth proportional to 4,616.62, 6,359.81 and 3,672.12 is: 5,058.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.62 : 6,359.81 = 3,672.12 : x
  2. Step 2: Convert to fraction form
    4,616.62/6,359.81 = 3,672.12/x
  3. Step 3: Cross multiply
    4,616.62x = 6,359.81 × 3,672.12
  4. Step 4: Simplify right side
    4,616.62x = 23,353,985.50
  5. Step 5: Solve for x
    x = 23,353,985.50/4,616.62
  6. Step 6: Final answer
    x = 5,058.68

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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.