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Finding the Fourth Proportional to 5,253.84, 7,879.08 and 1,791.60

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Solution

The fourth proportional to 5,253.84, 7,879.08 and 1,791.60 is: 2,686.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,253.84 : 7,879.08 = 1,791.60 : x
  2. Step 2: Convert to fraction form
    5,253.84/7,879.08 = 1,791.60/x
  3. Step 3: Cross multiply
    5,253.84x = 7,879.08 × 1,791.60
  4. Step 4: Simplify right side
    5,253.84x = 14,116,159.73
  5. Step 5: Solve for x
    x = 14,116,159.73/5,253.84
  6. Step 6: Final answer
    x = 2,686.83

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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.