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Finding the Fourth Proportional to 3,808.48, 5,713.60 and 1,617.28

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Solution

The fourth proportional to 3,808.48, 5,713.60 and 1,617.28 is: 2,426.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.48 : 5,713.60 = 1,617.28 : x
  2. Step 2: Convert to fraction form
    3,808.48/5,713.60 = 1,617.28/x
  3. Step 3: Cross multiply
    3,808.48x = 5,713.60 × 1,617.28
  4. Step 4: Simplify right side
    3,808.48x = 9,240,491.01
  5. Step 5: Solve for x
    x = 9,240,491.01/3,808.48
  6. Step 6: Final answer
    x = 2,426.29

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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.