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Finding the Fourth Proportional to 5,678.25, 7,836.74 and 3,440.97

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Solution

The fourth proportional to 5,678.25, 7,836.74 and 3,440.97 is: 4,748.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.25 : 7,836.74 = 3,440.97 : x
  2. Step 2: Convert to fraction form
    5,678.25/7,836.74 = 3,440.97/x
  3. Step 3: Cross multiply
    5,678.25x = 7,836.74 × 3,440.97
  4. Step 4: Simplify right side
    5,678.25x = 26,965,970.03
  5. Step 5: Solve for x
    x = 26,965,970.03/5,678.25
  6. Step 6: Final answer
    x = 4,748.99

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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.