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Finding the Fourth Proportional to 3,206.16, 4,810.86 and 2,958.30

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Solution

The fourth proportional to 3,206.16, 4,810.86 and 2,958.30 is: 4,438.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.16 : 4,810.86 = 2,958.30 : x
  2. Step 2: Convert to fraction form
    3,206.16/4,810.86 = 2,958.30/x
  3. Step 3: Cross multiply
    3,206.16x = 4,810.86 × 2,958.30
  4. Step 4: Simplify right side
    3,206.16x = 14,231,967.14
  5. Step 5: Solve for x
    x = 14,231,967.14/3,206.16
  6. Step 6: Final answer
    x = 4,438.94

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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.