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Finding the Fourth Proportional to 3,995.64, 5,980.50 and 3,563.64

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Solution

The fourth proportional to 3,995.64, 5,980.50 and 3,563.64 is: 5,333.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,995.64 : 5,980.50 = 3,563.64 : x
  2. Step 2: Convert to fraction form
    3,995.64/5,980.50 = 3,563.64/x
  3. Step 3: Cross multiply
    3,995.64x = 5,980.50 × 3,563.64
  4. Step 4: Simplify right side
    3,995.64x = 21,312,349.02
  5. Step 5: Solve for x
    x = 21,312,349.02/3,995.64
  6. Step 6: Final answer
    x = 5,333.90

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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.