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Finding the Fourth Proportional to 3,206.01, 4,809.17 and 1,563.96

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Solution

The fourth proportional to 3,206.01, 4,809.17 and 1,563.96 is: 2,346.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.01 : 4,809.17 = 1,563.96 : x
  2. Step 2: Convert to fraction form
    3,206.01/4,809.17 = 1,563.96/x
  3. Step 3: Cross multiply
    3,206.01x = 4,809.17 × 1,563.96
  4. Step 4: Simplify right side
    3,206.01x = 7,521,349.51
  5. Step 5: Solve for x
    x = 7,521,349.51/3,206.01
  6. Step 6: Final answer
    x = 2,346.02

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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.