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Finding the Fourth Proportional to 3,206.64, 4,423.94 and 1,947.21

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Solution

The fourth proportional to 3,206.64, 4,423.94 and 1,947.21 is: 2,686.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.64 : 4,423.94 = 1,947.21 : x
  2. Step 2: Convert to fraction form
    3,206.64/4,423.94 = 1,947.21/x
  3. Step 3: Cross multiply
    3,206.64x = 4,423.94 × 1,947.21
  4. Step 4: Simplify right side
    3,206.64x = 8,614,330.47
  5. Step 5: Solve for x
    x = 8,614,330.47/3,206.64
  6. Step 6: Final answer
    x = 2,686.41

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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.