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Finding the Fourth Proportional to 3,828, 5,282.64 and 2,503.92

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Solution

The fourth proportional to 3,828, 5,282.64 and 2,503.92 is: 3,455.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828 : 5,282.64 = 2,503.92 : x
  2. Step 2: Convert to fraction form
    3,828/5,282.64 = 2,503.92/x
  3. Step 3: Cross multiply
    3,828x = 5,282.64 × 2,503.92
  4. Step 4: Simplify right side
    3,828x = 13,227,307.95
  5. Step 5: Solve for x
    x = 13,227,307.95/3,828
  6. Step 6: Final answer
    x = 3,455.41

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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.