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Finding the Fourth Proportional to 5,735.01, 8,606.17 and 2,448.14

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Solution

The fourth proportional to 5,735.01, 8,606.17 and 2,448.14 is: 3,673.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.01 : 8,606.17 = 2,448.14 : x
  2. Step 2: Convert to fraction form
    5,735.01/8,606.17 = 2,448.14/x
  3. Step 3: Cross multiply
    5,735.01x = 8,606.17 × 2,448.14
  4. Step 4: Simplify right side
    5,735.01x = 21,069,069.05
  5. Step 5: Solve for x
    x = 21,069,069.05/5,735.01
  6. Step 6: Final answer
    x = 3,673.76

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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.