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Finding the Fourth Proportional to 5,206.81, 7,807.84 and 3,232.36

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Solution

The fourth proportional to 5,206.81, 7,807.84 and 3,232.36 is: 4,847.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.81 : 7,807.84 = 3,232.36 : x
  2. Step 2: Convert to fraction form
    5,206.81/7,807.84 = 3,232.36/x
  3. Step 3: Cross multiply
    5,206.81x = 7,807.84 × 3,232.36
  4. Step 4: Simplify right side
    5,206.81x = 25,237,725.64
  5. Step 5: Solve for x
    x = 25,237,725.64/5,206.81
  6. Step 6: Final answer
    x = 4,847.06

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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.