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Finding the Fourth Proportional to 5,243.73, 7,858.08 and 3,946.11

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Solution

The fourth proportional to 5,243.73, 7,858.08 and 3,946.11 is: 5,913.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.73 : 7,858.08 = 3,946.11 : x
  2. Step 2: Convert to fraction form
    5,243.73/7,858.08 = 3,946.11/x
  3. Step 3: Cross multiply
    5,243.73x = 7,858.08 × 3,946.11
  4. Step 4: Simplify right side
    5,243.73x = 31,008,848.07
  5. Step 5: Solve for x
    x = 31,008,848.07/5,243.73
  6. Step 6: Final answer
    x = 5,913.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.