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Finding the Fourth Proportional to 3,206.81, 4,807.27 and 1,356.92

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Solution

The fourth proportional to 3,206.81, 4,807.27 and 1,356.92 is: 2,034.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.81 : 4,807.27 = 1,356.92 : x
  2. Step 2: Convert to fraction form
    3,206.81/4,807.27 = 1,356.92/x
  3. Step 3: Cross multiply
    3,206.81x = 4,807.27 × 1,356.92
  4. Step 4: Simplify right side
    3,206.81x = 6,523,080.81
  5. Step 5: Solve for x
    x = 6,523,080.81/3,206.81
  6. Step 6: Final answer
    x = 2,034.13

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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.