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Finding the Fourth Proportional to 5,743.78, 7,925.81 and 3,226.17

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Solution

The fourth proportional to 5,743.78, 7,925.81 and 3,226.17 is: 4,451.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.78 : 7,925.81 = 3,226.17 : x
  2. Step 2: Convert to fraction form
    5,743.78/7,925.81 = 3,226.17/x
  3. Step 3: Cross multiply
    5,743.78x = 7,925.81 × 3,226.17
  4. Step 4: Simplify right side
    5,743.78x = 25,570,010.45
  5. Step 5: Solve for x
    x = 25,570,010.45/5,743.78
  6. Step 6: Final answer
    x = 4,451.77

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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.