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Finding the Fourth Proportional to 5,724.50, 7,899.12 and 3,206.36

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Solution

The fourth proportional to 5,724.50, 7,899.12 and 3,206.36 is: 4,424.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.50 : 7,899.12 = 3,206.36 : x
  2. Step 2: Convert to fraction form
    5,724.50/7,899.12 = 3,206.36/x
  3. Step 3: Cross multiply
    5,724.50x = 7,899.12 × 3,206.36
  4. Step 4: Simplify right side
    5,724.50x = 25,327,442.15
  5. Step 5: Solve for x
    x = 25,327,442.15/5,724.50
  6. Step 6: Final answer
    x = 4,424.40

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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.