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Finding the Fourth Proportional to 3,206.92, 4,809.26 and 1,562.42

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Solution

The fourth proportional to 3,206.92, 4,809.26 and 1,562.42 is: 2,343.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.92 : 4,809.26 = 1,562.42 : x
  2. Step 2: Convert to fraction form
    3,206.92/4,809.26 = 1,562.42/x
  3. Step 3: Cross multiply
    3,206.92x = 4,809.26 × 1,562.42
  4. Step 4: Simplify right side
    3,206.92x = 7,514,084.01
  5. Step 5: Solve for x
    x = 7,514,084.01/3,206.92
  6. Step 6: Final answer
    x = 2,343.08

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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.