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Finding the Fourth Proportional to 5,238.84, 7,233 and 3,648.84

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Solution

The fourth proportional to 5,238.84, 7,233 and 3,648.84 is: 5,037.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.84 : 7,233 = 3,648.84 : x
  2. Step 2: Convert to fraction form
    5,238.84/7,233 = 3,648.84/x
  3. Step 3: Cross multiply
    5,238.84x = 7,233 × 3,648.84
  4. Step 4: Simplify right side
    5,238.84x = 26,392,059.72
  5. Step 5: Solve for x
    x = 26,392,059.72/5,238.84
  6. Step 6: Final answer
    x = 5,037.77

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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.