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Finding the Fourth Proportional to 4,617.14, 6,366.20 and 3,730.20

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Solution

The fourth proportional to 4,617.14, 6,366.20 and 3,730.20 is: 5,143.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.14 : 6,366.20 = 3,730.20 : x
  2. Step 2: Convert to fraction form
    4,617.14/6,366.20 = 3,730.20/x
  3. Step 3: Cross multiply
    4,617.14x = 6,366.20 × 3,730.20
  4. Step 4: Simplify right side
    4,617.14x = 23,747,199.24
  5. Step 5: Solve for x
    x = 23,747,199.24/4,617.14
  6. Step 6: Final answer
    x = 5,143.27

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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.