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Finding the Fourth Proportional to 4,828.38, 7,237.71 and 2,233.14

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Solution

The fourth proportional to 4,828.38, 7,237.71 and 2,233.14 is: 3,347.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,828.38 : 7,237.71 = 2,233.14 : x
  2. Step 2: Convert to fraction form
    4,828.38/7,237.71 = 2,233.14/x
  3. Step 3: Cross multiply
    4,828.38x = 7,237.71 × 2,233.14
  4. Step 4: Simplify right side
    4,828.38x = 16,162,819.71
  5. Step 5: Solve for x
    x = 16,162,819.71/4,828.38
  6. Step 6: Final answer
    x = 3,347.46

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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.