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Finding the Fourth Proportional to 4,632.36, 6,956.10 and 3,906.60

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Solution

The fourth proportional to 4,632.36, 6,956.10 and 3,906.60 is: 5,866.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632.36 : 6,956.10 = 3,906.60 : x
  2. Step 2: Convert to fraction form
    4,632.36/6,956.10 = 3,906.60/x
  3. Step 3: Cross multiply
    4,632.36x = 6,956.10 × 3,906.60
  4. Step 4: Simplify right side
    4,632.36x = 27,174,700.26
  5. Step 5: Solve for x
    x = 27,174,700.26/4,632.36
  6. Step 6: Final answer
    x = 5,866.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.