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Finding the Fourth Proportional to 3,206.96, 4,810.39 and 2,657.99

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Solution

The fourth proportional to 3,206.96, 4,810.39 and 2,657.99 is: 3,986.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.96 : 4,810.39 = 2,657.99 : x
  2. Step 2: Convert to fraction form
    3,206.96/4,810.39 = 2,657.99/x
  3. Step 3: Cross multiply
    3,206.96x = 4,810.39 × 2,657.99
  4. Step 4: Simplify right side
    3,206.96x = 12,785,937.82
  5. Step 5: Solve for x
    x = 12,785,937.82/3,206.96
  6. Step 6: Final answer
    x = 3,986.93

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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.