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Finding the Fourth Proportional to 3,808.56, 5,712.93 and 2,153.28

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Solution

The fourth proportional to 3,808.56, 5,712.93 and 2,153.28 is: 3,229.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.56 : 5,712.93 = 2,153.28 : x
  2. Step 2: Convert to fraction form
    3,808.56/5,712.93 = 2,153.28/x
  3. Step 3: Cross multiply
    3,808.56x = 5,712.93 × 2,153.28
  4. Step 4: Simplify right side
    3,808.56x = 12,301,537.91
  5. Step 5: Solve for x
    x = 12,301,537.91/3,808.56
  6. Step 6: Final answer
    x = 3,229.97

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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.