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Finding the Fourth Proportional to 5,558.88, 8,332.56 and 3,828

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Solution

The fourth proportional to 5,558.88, 8,332.56 and 3,828 is: 5,738.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,558.88 : 8,332.56 = 3,828 : x
  2. Step 2: Convert to fraction form
    5,558.88/8,332.56 = 3,828/x
  3. Step 3: Cross multiply
    5,558.88x = 8,332.56 × 3,828
  4. Step 4: Simplify right side
    5,558.88x = 31,897,039.68
  5. Step 5: Solve for x
    x = 31,897,039.68/5,558.88
  6. Step 6: Final answer
    x = 5,738.03

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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.