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Finding the Fourth Proportional to 4,743.84, 7,143.32 and 3,519.92

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Solution

The fourth proportional to 4,743.84, 7,143.32 and 3,519.92 is: 5,300.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,743.84 : 7,143.32 = 3,519.92 : x
  2. Step 2: Convert to fraction form
    4,743.84/7,143.32 = 3,519.92/x
  3. Step 3: Cross multiply
    4,743.84x = 7,143.32 × 3,519.92
  4. Step 4: Simplify right side
    4,743.84x = 25,143,914.93
  5. Step 5: Solve for x
    x = 25,143,914.93/4,743.84
  6. Step 6: Final answer
    x = 5,300.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.