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Finding the Fourth Proportional to 3,800.48, 5,242.32 and 2,228

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Solution

The fourth proportional to 3,800.48, 5,242.32 and 2,228 is: 3,073.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.48 : 5,242.32 = 2,228 : x
  2. Step 2: Convert to fraction form
    3,800.48/5,242.32 = 2,228/x
  3. Step 3: Cross multiply
    3,800.48x = 5,242.32 × 2,228
  4. Step 4: Simplify right side
    3,800.48x = 11,679,888.96
  5. Step 5: Solve for x
    x = 11,679,888.96/3,800.48
  6. Step 6: Final answer
    x = 3,073.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.