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Finding the Fourth Proportional to 3,206.62, 4,809.39 and 1,562.74

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Solution

The fourth proportional to 3,206.62, 4,809.39 and 1,562.74 is: 2,343.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.62 : 4,809.39 = 1,562.74 : x
  2. Step 2: Convert to fraction form
    3,206.62/4,809.39 = 1,562.74/x
  3. Step 3: Cross multiply
    3,206.62x = 4,809.39 × 1,562.74
  4. Step 4: Simplify right side
    3,206.62x = 7,515,826.13
  5. Step 5: Solve for x
    x = 7,515,826.13/3,206.62
  6. Step 6: Final answer
    x = 2,343.85

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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.